5x+8=7x-13

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


Simplifying
5x + 8 = 7x + -13

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

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

Solving
8 + 5x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 5x + -7x = -13 + 7x + -7x

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

Combine like terms: 7x + -7x = 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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