In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by \(\displaystyle 0.1\) to isolate the variable.

\(\displaystyle \frac{0.1x }{0.1}= \frac{1000}{0.1}\)

Decimals may be written as fractions. 

\(\displaystyle 0.1=\frac{1}{10}\)

Dividing by a fraction is the same as multiplying by its reciprocal:

\(\displaystyle \frac{1000}{1}\times \frac{10}{1}\)

Therefore,

\(\displaystyle x=10000\).

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide \(\displaystyle 0.003\) on both sides to isolate the unknown variable.

\(\displaystyle \frac{0.003x}{0.003} = \frac{3.3}{0.003}\)

Decimals may be written as fractions. 

\(\displaystyle 0.003=\frac{3}{1000}\)

Dividing by a fraction is the same as multiplying by its reciprocal:

\(\displaystyle 3.3\times \frac{1000}{3}\)

\(\displaystyle x= 1100\)

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To solve for \(\displaystyle x\), divide both sides by \(\displaystyle 0.6\)

\(\displaystyle \frac{0.6x }{0.6}= \frac{24}{0.6}\)

Decimals may be written as fractions. 

\(\displaystyle 0.6=\frac{6}{10}\)

Dividing by a fraction is the same as multiplying by its reciprocal:

Substitute and solve.

\(\displaystyle x=\frac{24}{1}\times\frac{10}{6}\)

\(\displaystyle x=\frac{240}{6}=\frac{6\cdot 40}{6}\)

The six in the numerator and in the denominator cancel out and we are left with the final answer,

\(\displaystyle x=40\).

In order to solve for \(\displaystyle x\), subtract \(\displaystyle 0.123\) from both sides.

\(\displaystyle 0.123+x -0.123= 456-0.123\)

\(\displaystyle x=455.877\)

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Solve by dividing \(\displaystyle 0.09\) on both sides of the equation.  Move the decimal two places to the right.

\(\displaystyle \frac{0.09x}{0.09} = \frac{27}{0.09} =\frac{2700}{9}\)

Now factor the numerator to find values that can cancel out.

\(\displaystyle \frac{2700}{9}=\frac{9\cdot 300}{9}\)

The nine in the numerator and denominator reduce to one and we are left with our final answer,

\(\displaystyle x=300\).

Divide \(\displaystyle 0.39\) on both sides of the equation.

\(\displaystyle \frac{0.39x}{0.39} = \frac{7.8}{0.39}\)

\(\displaystyle x=20\)

Divide by \(\displaystyle 2.02\) on both sides of the equation.

\(\displaystyle \frac{2.02x}{2.02}=\frac{ -0.202}{2.02}\)

Decimals may be written as fractions. 

\(\displaystyle -0.202=-\frac{202}{1000}; 2.02=\frac{202}{100}\)

Dividing by a fraction is the same as multiplying by its reciprocal:

Substitute and solve.

\(\displaystyle x=-\frac{202}{1000}\times\frac{100}{202}\)

\(\displaystyle x=-0.1\)

Add \(\displaystyle 0.56\) on both sides of the equation.

\(\displaystyle x-0.56 +0.56= 1.4+0.56\)

\(\displaystyle x= 1.40+0.56\)

\(\displaystyle x= 1.96\)

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate the variable, divide both sides by \(\displaystyle 0.6\).

\(\displaystyle \frac{0.6x}{0.6} = \frac{36}{0.6}\)

Decimals may be written as fractions. 

\(\displaystyle 0.6=\frac{6}{10}\)

Dividing by a fraction is the same as multiplying by its reciprocal:

\(\displaystyle \frac{36}{1}\times \frac{10}{6}=\frac{360}{6}\)

Now factor the numerator to find like terms that can reduce.

\(\displaystyle \frac{360}{6}=\frac{60\cdot 6}{6}\)

The six in the numerator and denominator reduce to one and the final solution becomes,

\(\displaystyle x=60\).

Solve by dividing both sides by 2.

\(\displaystyle \frac{2x}{2} = \frac{0.003}{2}\)

The fraction on the right side of the equation can be rewritten as:

\(\displaystyle x= \frac{0.003}{2} = \frac{\frac{3}{1000}}{2}\)

Dividing by two is also similar to multiplying by one half.

\(\displaystyle x= \frac{3}{1000} \times \frac{1}{2}= \frac{3}{2000}\)

\(\displaystyle x=0.0015\)