13-45=4(x-3)-8

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Solution for 13-45=4(x-3)-8 equation:


Simplifying
13 + -45 = 4(x + -3) + -8

Combine like terms: 13 + -45 = -32
-32 = 4(x + -3) + -8

Reorder the terms:
-32 = 4(-3 + x) + -8
-32 = (-3 * 4 + x * 4) + -8
-32 = (-12 + 4x) + -8

Reorder the terms:
-32 = -12 + -8 + 4x

Combine like terms: -12 + -8 = -20
-32 = -20 + 4x

Solving
-32 = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-32 + -4x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-32 + -4x = -20 + 0
-32 + -4x = -20

Add '32' to each side of the equation.
-32 + 32 + -4x = -20 + 32

Combine like terms: -32 + 32 = 0
0 + -4x = -20 + 32
-4x = -20 + 32

Combine like terms: -20 + 32 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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