2(2x+1)-(2x-6)=-40

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Solution for 2(2x+1)-(2x-6)=-40 equation:


Simplifying
2(2x + 1) + -1(2x + -6) = -40

Reorder the terms:
2(1 + 2x) + -1(2x + -6) = -40
(1 * 2 + 2x * 2) + -1(2x + -6) = -40
(2 + 4x) + -1(2x + -6) = -40

Reorder the terms:
2 + 4x + -1(-6 + 2x) = -40
2 + 4x + (-6 * -1 + 2x * -1) = -40
2 + 4x + (6 + -2x) = -40

Reorder the terms:
2 + 6 + 4x + -2x = -40

Combine like terms: 2 + 6 = 8
8 + 4x + -2x = -40

Combine like terms: 4x + -2x = 2x
8 + 2x = -40

Solving
8 + 2x = -40

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 2x = -40 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = -40 + -8
2x = -40 + -8

Combine like terms: -40 + -8 = -48
2x = -48

Divide each side by '2'.
x = -24

Simplifying
x = -24

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