2(x+2)=6(x-1)-14

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Solution for 2(x+2)=6(x-1)-14 equation:


Simplifying
2(x + 2) = 6(x + -1) + -14

Reorder the terms:
2(2 + x) = 6(x + -1) + -14
(2 * 2 + x * 2) = 6(x + -1) + -14
(4 + 2x) = 6(x + -1) + -14

Reorder the terms:
4 + 2x = 6(-1 + x) + -14
4 + 2x = (-1 * 6 + x * 6) + -14
4 + 2x = (-6 + 6x) + -14

Reorder the terms:
4 + 2x = -6 + -14 + 6x

Combine like terms: -6 + -14 = -20
4 + 2x = -20 + 6x

Solving
4 + 2x = -20 + 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.
4 + 2x + -6x = -20 + 6x + -6x

Combine like terms: 2x + -6x = -4x
4 + -4x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -4x = -20 + 0
4 + -4x = -20

Add '-4' to each side of the equation.
4 + -4 + -4x = -20 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -20 + -4
-4x = -20 + -4

Combine like terms: -20 + -4 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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