13x+23-6x+7=5x-15-x+x+7

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Solution for 13x+23-6x+7=5x-15-x+x+7 equation:


Simplifying
13x + 23 + -6x + 7 = 5x + -15 + -1x + x + 7

Reorder the terms:
23 + 7 + 13x + -6x = 5x + -15 + -1x + x + 7

Combine like terms: 23 + 7 = 30
30 + 13x + -6x = 5x + -15 + -1x + x + 7

Combine like terms: 13x + -6x = 7x
30 + 7x = 5x + -15 + -1x + x + 7

Reorder the terms:
30 + 7x = -15 + 7 + 5x + -1x + x

Combine like terms: -15 + 7 = -8
30 + 7x = -8 + 5x + -1x + x

Combine like terms: 5x + -1x = 4x
30 + 7x = -8 + 4x + x

Combine like terms: 4x + x = 5x
30 + 7x = -8 + 5x

Solving
30 + 7x = -8 + 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.
30 + 7x + -5x = -8 + 5x + -5x

Combine like terms: 7x + -5x = 2x
30 + 2x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 2x = -8 + 0
30 + 2x = -8

Add '-30' to each side of the equation.
30 + -30 + 2x = -8 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = -8 + -30
2x = -8 + -30

Combine like terms: -8 + -30 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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