Question

solve for x: -6(-3x - 1) + 2 = 8x + 7
answer attempt 1 out of 2
x =

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(-6(-3x - 1)\):
\(-6\times(-3x)+(-6)\times(-1)=18x + 6\)
So the equation becomes \(18x+6 + 2=8x + 7\)

Step2: Simplify both sides

Simplify the left side: \(18x+8 = 8x + 7\)

Step3: Subtract \(8x\) from both sides

\(18x-8x + 8=8x-8x + 7\)
\(10x+8 = 7\)

Step4: Subtract 8 from both sides

\(10x+8 - 8=7 - 8\)
\(10x=-1\)

Step5: Divide both sides by 10

\(x=\frac{-1}{10}=-0.1\)

Answer:

\(x = -\frac{1}{10}\) (or \(x=-0.1\))