Question

-8x - 14 = 7(-2 - 4x) + 4x

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(7(-2 - 4x)\) to get \(-14-28x\). So the equation becomes \(-8x - 14=-14-28x + 4x\).

Step2: Combine like terms on the right

Combine \(-28x\) and \(4x\) to get \(-24x\). Now the equation is \(-8x - 14=-14-24x\).

Step3: Add \(24x\) to both sides

Adding \(24x\) to both sides: \(-8x+24x - 14=-14-24x+24x\), which simplifies to \(16x - 14=-14\).

Step4: Add 14 to both sides

Adding 14 to both sides: \(16x - 14 + 14=-14 + 14\), which simplifies to \(16x=0\).

Step5: Solve for x

Divide both sides by 16: \(x=\frac{0}{16}=0\).

Answer:

\(x = 0\)