Question

-2(x + 3) = 4x - 3

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we have \(-2(x + 3)=-2x-6\). So the equation becomes \(-2x - 6=4x-3\).

Step2: Move all x terms to one side

Add \(2x\) to both sides of the equation: \(-2x-6 + 2x=4x-3+2x\), which simplifies to \(-6 = 6x-3\).

Step3: Solve for x

Add 3 to both sides: \(-6 + 3=6x-3 + 3\), so \(-3 = 6x\). Then divide both sides by 6: \(x=\frac{-3}{6}=-\frac{1}{2}\).

Answer:

\(x = -\frac{1}{2}\)