6x+2(1-x)=x+11

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Solution for 6x+2(1-x)=x+11 equation:


Simplifying
6x + 2(1 + -1x) = x + 11
6x + (1 * 2 + -1x * 2) = x + 11
6x + (2 + -2x) = x + 11

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

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

Reorder the terms:
2 + 4x = 11 + x

Solving
2 + 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.
2 + 4x + -1x = 11 + x + -1x

Combine like terms: 4x + -1x = 3x
2 + 3x = 11 + x + -1x

Combine like terms: x + -1x = 0
2 + 3x = 11 + 0
2 + 3x = 11

Add '-2' to each side of the equation.
2 + -2 + 3x = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 11 + -2
3x = 11 + -2

Combine like terms: 11 + -2 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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