13-42=3(x-1)-5

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Solution for 13-42=3(x-1)-5 equation: 


Simplifying
13 + -42 = 3(x + -1) + -5

Combine like terms: 13 + -42 = -29
-29 = 3(x + -1) + -5

Reorder the terms:
-29 = 3(-1 + x) + -5
-29 = (-1 * 3 + x * 3) + -5
-29 = (-3 + 3x) + -5

Reorder the terms:
-29 = -3 + -5 + 3x

Combine like terms: -3 + -5 = -8
-29 = -8 + 3x

Solving
-29 = -8 + 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 = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-29 + -3x = -8 + 0
-29 + -3x = -8

Add '29' to each side of the equation.
-29 + 29 + -3x = -8 + 29

Combine like terms: -29 + 29 = 0
0 + -3x = -8 + 29
-3x = -8 + 29

Combine like terms: -8 + 29 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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