Question

solve for x.
-6(3x - 2) + 4x = -4(x + 1)
simplify your answer as much as possible.

Explanation:

Step1: Expand both sides

First, we expand the left - hand side: \(-6(3x - 2)+4x=-18x + 12+4x\).
Then, we expand the right - hand side: \(-4(x + 1)=-4x-4\).
So the equation becomes \(-18x + 12+4x=-4x-4\).

Step2: Combine like terms

On the left - hand side, combine the \(x\) terms: \(-18x+4x=-14x\), so the left - hand side is \(-14x + 12\).
The equation is now \(-14x+12=-4x - 4\).

Step3: Move \(x\) terms to one side

Add \(14x\) to both sides of the equation: \(-14x+14x + 12=-4x+14x-4\).
This simplifies to \(12 = 10x-4\).

Step4: Solve for \(x\)

Add 4 to both sides: \(12 + 4=10x-4 + 4\), which gives \(16 = 10x\).
Then divide both sides by 10: \(x=\frac{16}{10}=\frac{8}{5}\).

Answer:

\(x = \frac{8}{5}\)