6x-2(x-4)=x+11

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Solution for 6x-2(x-4)=x+11 equation:


Simplifying
6x + -2(x + -4) = x + 11

Reorder the terms:
6x + -2(-4 + x) = x + 11
6x + (-4 * -2 + x * -2) = x + 11
6x + (8 + -2x) = x + 11

Reorder the terms:
8 + 6x + -2x = x + 11

Combine like terms: 6x + -2x = 4x
8 + 4x = x + 11

Reorder the terms:
8 + 4x = 11 + x

Solving
8 + 4x = 11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 4x + -1x = 11 + x + -1x

Combine like terms: 4x + -1x = 3x
8 + 3x = 11 + x + -1x

Combine like terms: x + -1x = 0
8 + 3x = 11 + 0
8 + 3x = 11

Add '-8' to each side of the equation.
8 + -8 + 3x = 11 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 11 + -8
3x = 11 + -8

Combine like terms: 11 + -8 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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