13-45=3(x-3)-5

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Solution for 13-45=3(x-3)-5 equation: 


Simplifying
13 + -45 = 3(x + -3) + -5

Combine like terms: 13 + -45 = -32
-32 = 3(x + -3) + -5

Reorder the terms:
-32 = 3(-3 + x) + -5
-32 = (-3 * 3 + x * 3) + -5
-32 = (-9 + 3x) + -5

Reorder the terms:
-32 = -9 + -5 + 3x

Combine like terms: -9 + -5 = -14
-32 = -14 + 3x

Solving
-32 = -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.
-32 + -3x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + -3x = -14 + 0
-32 + -3x = -14

Add '32' to each side of the equation.
-32 + 32 + -3x = -14 + 32

Combine like terms: -32 + 32 = 0
0 + -3x = -14 + 32
-3x = -14 + 32

Combine like terms: -14 + 32 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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