13x+7=5x-20

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Solution for 13x+7=5x-20 equation:


Simplifying
13x + 7 = 5x + -20

Reorder the terms:
7 + 13x = 5x + -20

Reorder the terms:
7 + 13x = -20 + 5x

Solving
7 + 13x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7 + 13x + -5x = -20 + 5x + -5x

Combine like terms: 13x + -5x = 8x
7 + 8x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + 8x = -20 + 0
7 + 8x = -20

Add '-7' to each side of the equation.
7 + -7 + 8x = -20 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = -20 + -7
8x = -20 + -7

Combine like terms: -20 + -7 = -27
8x = -27

Divide each side by '8'.
x = -3.375

Simplifying
x = -3.375

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