Q:

What is the solution to the equation 3x + 2(x − 9) = 8x + x − 14? −8 −1 1 8

Accepted Solution

A:
Step 1: Simplify both sides of the equation.3x+2(x−9)=8x+x−143x+(2)(x)+(2)(−9)=8x+x+−14(Distribute)3x+2x+−18=8x+x+−14(3x+2x)+(−18)=(8x+x)+(−14)(Combine Like Terms)5x+−18=9x+−145x−18=9x−14Step 2: Subtract 9x from both sides.5x−18−9x=9x−14−9x−4x−18=−14Step 3: Add 18 to both sides.−4x−18+18=−14+18−4x=4Step 4: Divide both sides by -4.−4x−4=4−4x=−1