6x+7=8x-11

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Solution for 6x+7=8x-11 equation:


Simplifying
6x + 7 = 8x + -11

Reorder the terms:
7 + 6x = 8x + -11

Reorder the terms:
7 + 6x = -11 + 8x

Solving
7 + 6x = -11 + 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.
7 + 6x + -8x = -11 + 8x + -8x

Combine like terms: 6x + -8x = -2x
7 + -2x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -2x = -11 + 0
7 + -2x = -11

Add '-7' to each side of the equation.
7 + -7 + -2x = -11 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -11 + -7
-2x = -11 + -7

Combine like terms: -11 + -7 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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