4(x+2)-(2x-6)=

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Solution for 4(x+2)-(2x-6)= equation:


Simplifying
4(x + 2) + -1(2x + -6) = 0

Reorder the terms:
4(2 + x) + -1(2x + -6) = 0
(2 * 4 + x * 4) + -1(2x + -6) = 0
(8 + 4x) + -1(2x + -6) = 0

Reorder the terms:
8 + 4x + -1(-6 + 2x) = 0
8 + 4x + (-6 * -1 + 2x * -1) = 0
8 + 4x + (6 + -2x) = 0

Reorder the terms:
8 + 6 + 4x + -2x = 0

Combine like terms: 8 + 6 = 14
14 + 4x + -2x = 0

Combine like terms: 4x + -2x = 2x
14 + 2x = 0

Solving
14 + 2x = 0

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 2x = 0 + -14

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

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

Divide each side by '2'.
x = -7

Simplifying
x = -7

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