7x+8=5x-13

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Solution for 7x+8=5x-13 equation:


Simplifying
7x + 8 = 5x + -13

Reorder the terms:
8 + 7x = 5x + -13

Reorder the terms:
8 + 7x = -13 + 5x

Solving
8 + 7x = -13 + 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.
8 + 7x + -5x = -13 + 5x + -5x

Combine like terms: 7x + -5x = 2x
8 + 2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 2x = -13 + 0
8 + 2x = -13

Add '-8' to each side of the equation.
8 + -8 + 2x = -13 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = -13 + -8
2x = -13 + -8

Combine like terms: -13 + -8 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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