13x+8=7x-20

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Solution for 13x+8=7x-20 equation:


Simplifying
13x + 8 = 7x + -20

Reorder the terms:
8 + 13x = 7x + -20

Reorder the terms:
8 + 13x = -20 + 7x

Solving
8 + 13x = -20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 13x + -7x = -20 + 7x + -7x

Combine like terms: 13x + -7x = 6x
8 + 6x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + 6x = -20 + 0
8 + 6x = -20

Add '-8' to each side of the equation.
8 + -8 + 6x = -20 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = -20 + -8
6x = -20 + -8

Combine like terms: -20 + -8 = -28
6x = -28

Divide each side by '6'.
x = -4.666666667

Simplifying
x = -4.666666667

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