6x+1=8x-11

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Solution for 6x+1=8x-11 equation:


Simplifying
6x + 1 = 8x + -11

Reorder the terms:
1 + 6x = 8x + -11

Reorder the terms:
1 + 6x = -11 + 8x

Solving
1 + 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.
1 + 6x + -8x = -11 + 8x + -8x

Combine like terms: 6x + -8x = -2x
1 + -2x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -2x = -11 + 0
1 + -2x = -11

Add '-1' to each side of the equation.
1 + -1 + -2x = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -11 + -1
-2x = -11 + -1

Combine like terms: -11 + -1 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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