Question

solve for x.
6(x + 5) = -2(7x - 9) + 5x
simplify your answer as much as possible.
x = \boxed{}

Explanation:

Step1: Expand both sides

Expand the left - hand side: \(6(x + 5)=6x+30\)
Expand the right - hand side: \(-2(7x - 9)+5x=-14x + 18+5x=-9x + 18\)
So the equation becomes \(6x + 30=-9x+18\)

Step2: Move variable terms to one side

Add \(9x\) to both sides of the equation: \(6x+9x + 30=-9x + 9x+18\)
\(15x+30 = 18\)

Step3: Move constant terms to the other side

Subtract 30 from both sides: \(15x+30 - 30=18 - 30\)
\(15x=-12\)

Step4: Solve for x

Divide both sides by 15: \(x=\frac{-12}{15}\)
Simplify the fraction: \(x =-\frac{4}{5}\)

Answer:

\(x =-\frac{4}{5}\)