Question

Solve for x. Show steps.x + 4 = 2x - 510x + 12 = 8x + 4-6 - 29 = 5x - 7

Answer 1

Part A

Given the equation

$x+4=2x-5$

To solve for x, we first collect like terms

$\begin{gathered} x-2x=-5-4 \\ -x=-9 \\ \text{Divide both sides by -1} \\ x=9 \end{gathered}$

Part B

Given the equation:

$\begin{gathered} 10x+12=8x+4 \\ \end{gathered}$

First, we bring all terms containing x to the left-hand side and the constants to the right-hand side.

$\begin{gathered} 10x-8x=4-12 \\ 2x=-8 \\ \text{Divide both sides by 2} \\ x=-4 \end{gathered}$

Part C

Given the equation:

$-6-29=5x-7$

Collect like terms to obtain:

$\begin{gathered} 5x=-6-29+7 \\ 5x=-28 \end{gathered}$

Divide both sides by 5

$x=-5\frac{3}{5}$