Equations With One Variable - SAT Math

Distribute to get $3x - 6 = 12$. Apply the distributive property to remove parentheses.

Addition. Add 5 to both sides to isolate x.

Multiplication. Multiply both sides by 3 to eliminate the fraction.

$x = 4$. Divide both sides by 5.

$x = 3$. Subtract 7 from both sides, then multiply by -1.

For any number $a$, $a + (-a) = 0$. Any number plus its opposite equals zero.

$x = 2$. Add 4, then divide by 3.

$x = 7$. Subtract 5 from both sides to isolate x.

$x = 2$. Subtract 3, then divide by 2.

For any number $a$, $a \times 1 = a$. Multiplying by 1 leaves any number unchanged.

$x = 27$. Multiply both sides by 3.

$a + b = b + a$. Order of addends doesn't affect the sum.

A statement that two expressions are equal. Shows two expressions have the same value.

$x = 4$. Subtract 2 from both sides.

$x = 2$. Add 5 to both sides.

$(ab)c = a(bc)$. Grouping factors doesn't change the product.

$x = 7$. Subtract 8 from both sides.

$x = 2$. Subtract 5 from both sides, then divide by -2.

Use inverse operations. Apply the opposite operation to both sides.

$x = 3$. Subtract 1, then divide by 3.

An equation of the form $ax + b = 0$. One variable raised to the first power.