11x-2(2x-3)=6x+8

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Solution for 11x-2(2x-3)=6x+8 equation:


Simplifying
11x + -2(2x + -3) = 6x + 8

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

Reorder the terms:
6 + 11x + -4x = 6x + 8

Combine like terms: 11x + -4x = 7x
6 + 7x = 6x + 8

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

Solving
6 + 7x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 7x + -6x = 8 + 6x + -6x

Combine like terms: 7x + -6x = 1x
6 + 1x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + 1x = 8 + 0
6 + 1x = 8

Add '-6' to each side of the equation.
6 + -6 + 1x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 8 + -6
1x = 8 + -6

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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