9(x-8)=3x-42

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Solution for 9(x-8)=3x-42 equation:


Simplifying
9(x + -8) = 3x + -42

Reorder the terms:
9(-8 + x) = 3x + -42
(-8 * 9 + x * 9) = 3x + -42
(-72 + 9x) = 3x + -42

Reorder the terms:
-72 + 9x = -42 + 3x

Solving
-72 + 9x = -42 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-72 + 9x + -3x = -42 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-72 + 6x = -42 + 3x + -3x

Combine like terms: 3x + -3x = 0
-72 + 6x = -42 + 0
-72 + 6x = -42

Add '72' to each side of the equation.
-72 + 72 + 6x = -42 + 72

Combine like terms: -72 + 72 = 0
0 + 6x = -42 + 72
6x = -42 + 72

Combine like terms: -42 + 72 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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