Question

Solve 2(9-x) = 3 ( x +16 )

Answer 1

Answer: x=-6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(9−x)=3(x+16)

Step 1: Simplify both sides of the equation by distribution

$2(9-x)=3(x+16)\\(2)(9)+(2)(-x)=(3)(x)+(3)(16)\\18+-2x=3x+48\\-2x+18=3x+48$

Step 2: Subtract 3x from both sides.

$-2x+18-3x=3x+48-3x\\-5x+18=48$

Step 3: Subtract 18 from both sides.

$-5x+18-18=48-18\\-5x=30$

Step 4: Divide both sides by -5.

$\frac{-5x}{-5} =\frac{30}{-5} \\x=-6$