2(2x+7)=6x-8

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Solution for 2(2x+7)=6x-8 equation:


Simplifying
2(2x + 7) = 6x + -8

Reorder the terms:
2(7 + 2x) = 6x + -8
(7 * 2 + 2x * 2) = 6x + -8
(14 + 4x) = 6x + -8

Reorder the terms:
14 + 4x = -8 + 6x

Solving
14 + 4x = -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.
14 + 4x + -6x = -8 + 6x + -6x

Combine like terms: 4x + -6x = -2x
14 + -2x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -2x = -8 + 0
14 + -2x = -8

Add '-14' to each side of the equation.
14 + -14 + -2x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -8 + -14
-2x = -8 + -14

Combine like terms: -8 + -14 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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