7x+5=x-13

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


Simplifying
7x + 5 = x + -13

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

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

Solving
5 + 7x = -13 + 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.
5 + 7x + -1x = -13 + x + -1x

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

Combine like terms: x + -1x = 0
5 + 6x = -13 + 0
5 + 6x = -13

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

Combine like terms: 5 + -5 = 0
0 + 6x = -13 + -5
6x = -13 + -5

Combine like terms: -13 + -5 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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