5x+8=3x-5

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Solution for 5x+8=3x-5 equation:


Simplifying
5x + 8 = 3x + -5

Reorder the terms:
8 + 5x = 3x + -5

Reorder the terms:
8 + 5x = -5 + 3x

Solving
8 + 5x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 5x + -3x = -5 + 3x + -3x

Combine like terms: 5x + -3x = 2x
8 + 2x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 2x = -5 + 0
8 + 2x = -5

Add '-8' to each side of the equation.
8 + -8 + 2x = -5 + -8

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

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

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

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