5x+7=3x-8

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Solution for 5x+7=3x-8 equation:


Simplifying
5x + 7 = 3x + -8

Reorder the terms:
7 + 5x = 3x + -8

Reorder the terms:
7 + 5x = -8 + 3x

Solving
7 + 5x = -8 + 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.
7 + 5x + -3x = -8 + 3x + -3x

Combine like terms: 5x + -3x = 2x
7 + 2x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 2x = -8 + 0
7 + 2x = -8

Add '-7' to each side of the equation.
7 + -7 + 2x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = -8 + -7
2x = -8 + -7

Combine like terms: -8 + -7 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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