5x+8=x-5

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


Simplifying
5x + 8 = x + -5

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

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

Solving
8 + 5x = -5 + 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.
8 + 5x + -1x = -5 + x + -1x

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

Combine like terms: x + -1x = 0
8 + 4x = -5 + 0
8 + 4x = -5

Add '-8' to each side of the equation.
8 + -8 + 4x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = -5 + -8
4x = -5 + -8

Combine like terms: -5 + -8 = -13
4x = -13

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25

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