6x+2x-11=-2(2x-3)-x

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Solution for 6x+2x-11=-2(2x-3)-x equation:


Simplifying
6x + 2x + -11 = -2(2x + -3) + -1x

Reorder the terms:
-11 + 6x + 2x = -2(2x + -3) + -1x

Combine like terms: 6x + 2x = 8x
-11 + 8x = -2(2x + -3) + -1x

Reorder the terms:
-11 + 8x = -2(-3 + 2x) + -1x
-11 + 8x = (-3 * -2 + 2x * -2) + -1x
-11 + 8x = (6 + -4x) + -1x

Combine like terms: -4x + -1x = -5x
-11 + 8x = 6 + -5x

Solving
-11 + 8x = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-11 + 8x + 5x = 6 + -5x + 5x

Combine like terms: 8x + 5x = 13x
-11 + 13x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-11 + 13x = 6 + 0
-11 + 13x = 6

Add '11' to each side of the equation.
-11 + 11 + 13x = 6 + 11

Combine like terms: -11 + 11 = 0
0 + 13x = 6 + 11
13x = 6 + 11

Combine like terms: 6 + 11 = 17
13x = 17

Divide each side by '13'.
x = 1.307692308

Simplifying
x = 1.307692308

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