2(x+3)-(2+5x)=-4x

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Solution for 2(x+3)-(2+5x)=-4x equation:


Simplifying
2(x + 3) + -1(2 + 5x) = -4x

Reorder the terms:
2(3 + x) + -1(2 + 5x) = -4x
(3 * 2 + x * 2) + -1(2 + 5x) = -4x
(6 + 2x) + -1(2 + 5x) = -4x
6 + 2x + (2 * -1 + 5x * -1) = -4x
6 + 2x + (-2 + -5x) = -4x

Reorder the terms:
6 + -2 + 2x + -5x = -4x

Combine like terms: 6 + -2 = 4
4 + 2x + -5x = -4x

Combine like terms: 2x + -5x = -3x
4 + -3x = -4x

Solving
4 + -3x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
4 + -3x + 4x = -4x + 4x

Combine like terms: -3x + 4x = 1x
4 + 1x = -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 1x = 0

Add '-4' to each side of the equation.
4 + -4 + 1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 0 + -4
1x = 0 + -4

Combine like terms: 0 + -4 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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