6x-5=8x+12

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


Simplifying
6x + -5 = 8x + 12

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

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

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

Combine like terms: 6x + -8x = -2x
-5 + -2x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -2x = 12 + 0
-5 + -2x = 12

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

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

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

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

Simplifying
x = -8.5

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