Question

question
solve for x.
4(3x - 1) - 4x + 5 = -7

Explanation:

Step1: Expand the bracket

First, we expand \(4(3x - 1)\) using the distributive property \(a(b - c)=ab - ac\). So, \(4(3x - 1)=12x-4\). The equation becomes \(12x - 4-4x + 5=-7\).

Step2: Combine like terms

Next, we combine the \(x\)-terms and the constant terms. For the \(x\)-terms: \(12x-4x = 8x\). For the constant terms: \(-4 + 5=1\). So the equation simplifies to \(8x+1=-7\).

Step3: Isolate the \(x\)-term

Subtract 1 from both sides of the equation. \(8x+1 - 1=-7 - 1\), which gives \(8x=-8\).

Step4: Solve for \(x\)

Divide both sides by 8. \(\frac{8x}{8}=\frac{-8}{8}\), so \(x = - 1\).

Answer:

\(x=-1\)