6x+8=7x-6

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Solution for 6x+8=7x-6 equation:


Simplifying
6x + 8 = 7x + -6

Reorder the terms:
8 + 6x = 7x + -6

Reorder the terms:
8 + 6x = -6 + 7x

Solving
8 + 6x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 6x + -7x = -6 + 7x + -7x

Combine like terms: 6x + -7x = -1x
8 + -1x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -1x = -6 + 0
8 + -1x = -6

Add '-8' to each side of the equation.
8 + -8 + -1x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -6 + -8
-1x = -6 + -8

Combine like terms: -6 + -8 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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