5x-3x+13=x+7

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Solution for 5x-3x+13=x+7 equation:


Simplifying
5x + -3x + 13 = x + 7

Reorder the terms:
13 + 5x + -3x = x + 7

Combine like terms: 5x + -3x = 2x
13 + 2x = x + 7

Reorder the terms:
13 + 2x = 7 + x

Solving
13 + 2x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + 2x + -1x = 7 + x + -1x

Combine like terms: 2x + -1x = 1x
13 + 1x = 7 + x + -1x

Combine like terms: x + -1x = 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 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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