7(x+2)=2x-6

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


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

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

Reorder the terms:
14 + 7x = -6 + 2x

Solving
14 + 7x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + 7x + -2x = -6 + 2x + -2x

Combine like terms: 7x + -2x = 5x
14 + 5x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 5x = -6 + 0
14 + 5x = -6

Add '-14' to each side of the equation.
14 + -14 + 5x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = -6 + -14
5x = -6 + -14

Combine like terms: -6 + -14 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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