5x+6=8x+12

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Solution for 5x+6=8x+12 equation:


Simplifying
5x + 6 = 8x + 12

Reorder the terms:
6 + 5x = 8x + 12

Reorder the terms:
6 + 5x = 12 + 8x

Solving
6 + 5x = 12 + 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.
6 + 5x + -8x = 12 + 8x + -8x

Combine like terms: 5x + -8x = -3x
6 + -3x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -3x = 12 + 0
6 + -3x = 12

Add '-6' to each side of the equation.
6 + -6 + -3x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 12 + -6
-3x = 12 + -6

Combine like terms: 12 + -6 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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