Respuesta :
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