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

Question

asked Mar 6, 2023 194k views

2 Answers

Douglas Mesquita · Answer 1 · 2023-03-09T00:35:01+0000

Answer: x=-6

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.

$(-5x)/(-5) =(30)/(-5) \\x=-6$