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solve for x. 7x + 23 = 4x + 8x - 22 simplify your answer as much as pos…

Question

solve for x.
7x + 23 = 4x + 8x - 22
simplify your answer as much as possible.
x =

Explanation:

Step1: Combine like - terms on the right side

$7x + 23=(4x + 8x)-22$
$7x + 23 = 12x-22$

Step2: Move the x - terms to one side

Subtract $7x$ from both sides:
$7x-7x + 23=12x-7x-22$
$23 = 5x-22$

Step3: Isolate the term with x

Add 22 to both sides:
$23 + 22=5x-22 + 22$
$45 = 5x$

Step4: Solve for x

Divide both sides by 5:
$\frac{45}{5}=\frac{5x}{5}$
$x = 9$

Answer:

$x = 9$