What is the process to solving - 2 (x-6) = -5 (x+3)

Step 1: Simplify both sides of the equation.

-2 (x-6) = -5 (x+3)

(-2) (x) + (-2) (-6) = (-5) (x) + (-5) (3) (Distribute)

-2x+12=-5x+-15

-2x+12=-5x-15

Step 2: Add 5x to both sides.

-2x+12+5x=-5x-15+5x

3x+12=-15

Step 3: Subtract 12 from both sides.

3x+12-12=-15-12

3x=-27

Step 4: Divide both sides by 3.

3x3=-273

x=-9

-2 (x-6) = -5 (x+3)

Distributive property

-2x + 12 = - 5x - 15

Addition property of equality (Add 5x to both sides)

3x + 12 = - 15

Subtraction property of equality (Subtract 12 from both sides)

3x = - 27

Division property of equality (Divide both sides by 3)

x = - 9