Question

solve for x.
8(x - 1) = -4x + 136
a. x = 11
b. x = 36
c. x = 12
d. x = 144/12

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b - c)=ab - ac\), we expand \(8(x - 1)\) to get \(8x-8\). So the equation becomes \(8x - 8=-4x + 136\).

Step2: Add \(4x\) to both sides

Adding \(4x\) to both sides of the equation \(8x - 8=-4x + 136\) gives \(8x+4x - 8=-4x + 4x+ 136\), which simplifies to \(12x - 8 = 136\).

Step3: Add 8 to both sides

Adding 8 to both sides of \(12x - 8 = 136\) gives \(12x-8 + 8=136 + 8\), so \(12x=144\).

Step4: Divide by 12

Dividing both sides of \(12x = 144\) by 12 gives \(x=\frac{144}{12}=12\).

Answer:

C. \(x = 12\)