Question

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

Answer 1

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`

Answer 2

• 2(9-x)=3(x+16)
• 18-2x=3x+48
• 3x+2x=18-48
• 5x=-30
• x=-6