Question

1. solve for x: 8(2x - 8) - 10x = 4x - 3(6x + 8)

Explanation:

Step1: Expand both sides

Expand the left side: \(8(2x - 8)-10x=16x - 64-10x = 6x - 64\)
Expand the right side: \(4x-3(6x + 8)=4x-18x - 24=-14x - 24\)

Step2: Solve for x

Now we have the equation \(6x - 64=-14x - 24\)
Add \(14x\) to both sides: \(6x+14x - 64=-14x+14x - 24\), which simplifies to \(20x - 64=-24\)
Add 64 to both sides: \(20x - 64 + 64=-24 + 64\), so \(20x = 40\)
Divide both sides by 20: \(x=\frac{40}{20}=2\)

Answer:

\(x = 2\)