Question

solve for x: 4x + 2(x - 1) + 4 = -4x answer attempt 1 out of 4 x = submit answer

Explanation:

Step1: Expand the bracket

First, we expand \(2(x - 1)\) using the distributive property \(a(b - c)=ab - ac\). So, \(2(x - 1)=2x-2\). The equation becomes \(4x + 2x-2 + 4=-4x\).

Step2: Combine like terms

Combine the \(x\)-terms and the constant terms on the left side. For the \(x\)-terms: \(4x+2x = 6x\). For the constant terms: \(-2 + 4=2\). So the equation is now \(6x + 2=-4x\).

Step3: Move variable terms to one side

Add \(4x\) to both sides of the equation to get all \(x\)-terms on the left. \(6x+4x + 2=-4x + 4x\), which simplifies to \(10x+2 = 0\).

Step4: Solve for x

Subtract 2 from both sides: \(10x+2-2=0 - 2\), so \(10x=-2\). Then divide both sides by 10: \(x=\frac{-2}{10}=-\frac{1}{5}\).

Answer:

\(x = -\frac{1}{5}\)