13-42=3(x-2)-8

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Solution for 13-42=3(x-2)-8 equation: 


Simplifying
13 + -42 = 3(x + -2) + -8

Combine like terms: 13 + -42 = -29
-29 = 3(x + -2) + -8

Reorder the terms:
-29 = 3(-2 + x) + -8
-29 = (-2 * 3 + x * 3) + -8
-29 = (-6 + 3x) + -8

Reorder the terms:
-29 = -6 + -8 + 3x

Combine like terms: -6 + -8 = -14
-29 = -14 + 3x

Solving
-29 = -14 + 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.
-29 + -3x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-29 + -3x = -14 + 0
-29 + -3x = -14

Add '29' to each side of the equation.
-29 + 29 + -3x = -14 + 29

Combine like terms: -29 + 29 = 0
0 + -3x = -14 + 29
-3x = -14 + 29

Combine like terms: -14 + 29 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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