5x+13=6x-7

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Solution for 5x+13=6x-7 equation:


Simplifying
5x + 13 = 6x + -7

Reorder the terms:
13 + 5x = 6x + -7

Reorder the terms:
13 + 5x = -7 + 6x

Solving
13 + 5x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
13 + 5x + -6x = -7 + 6x + -6x

Combine like terms: 5x + -6x = -1x
13 + -1x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -1x = -7 + 0
13 + -1x = -7

Add '-13' to each side of the equation.
13 + -13 + -1x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = -7 + -13
-1x = -7 + -13

Combine like terms: -7 + -13 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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