13x+6=5x-7

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


Simplifying
13x + 6 = 5x + -7

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

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

Solving
6 + 13x = -7 + 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.
6 + 13x + -5x = -7 + 5x + -5x

Combine like terms: 13x + -5x = 8x
6 + 8x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 8x = -7 + 0
6 + 8x = -7

Add '-6' to each side of the equation.
6 + -6 + 8x = -7 + -6

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

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

Divide each side by '8'.
x = -1.625

Simplifying
x = -1.625

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