5x+12=3x-5

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Solution for 5x+12=3x-5 equation:


Simplifying
5x + 12 = 3x + -5

Reorder the terms:
12 + 5x = 3x + -5

Reorder the terms:
12 + 5x = -5 + 3x

Solving
12 + 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.
12 + 5x + -3x = -5 + 3x + -3x

Combine like terms: 5x + -3x = 2x
12 + 2x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 2x = -5 + 0
12 + 2x = -5

Add '-12' to each side of the equation.
12 + -12 + 2x = -5 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -5 + -12
2x = -5 + -12

Combine like terms: -5 + -12 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5

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