13-45=3(x-1)-8

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Solution for 13-45=3(x-1)-8 equation: 


Simplifying
13 + -45 = 3(x + -1) + -8

Combine like terms: 13 + -45 = -32
-32 = 3(x + -1) + -8

Reorder the terms:
-32 = 3(-1 + x) + -8
-32 = (-1 * 3 + x * 3) + -8
-32 = (-3 + 3x) + -8

Reorder the terms:
-32 = -3 + -8 + 3x

Combine like terms: -3 + -8 = -11
-32 = -11 + 3x

Solving
-32 = -11 + 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.
-32 + -3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + -3x = -11 + 0
-32 + -3x = -11

Add '32' to each side of the equation.
-32 + 32 + -3x = -11 + 32

Combine like terms: -32 + 32 = 0
0 + -3x = -11 + 32
-3x = -11 + 32

Combine like terms: -11 + 32 = 21
-3x = 21

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

Simplifying
x = -7

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