5x+12=8x-4

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Solution for 5x+12=8x-4 equation:


Simplifying
5x + 12 = 8x + -4

Reorder the terms:
12 + 5x = 8x + -4

Reorder the terms:
12 + 5x = -4 + 8x

Solving
12 + 5x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 5x + -8x = -4 + 8x + -8x

Combine like terms: 5x + -8x = -3x
12 + -3x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -3x = -4 + 0
12 + -3x = -4

Add '-12' to each side of the equation.
12 + -12 + -3x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -4 + -12
-3x = -4 + -12

Combine like terms: -4 + -12 = -16
-3x = -16

Divide each side by '-3'.
x = 5.333333333

Simplifying
x = 5.333333333

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