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

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


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

Reorder the terms:
2(4 + x) + -5(x + -2) = -1(x + 4)
(4 * 2 + x * 2) + -5(x + -2) = -1(x + 4)
(8 + 2x) + -5(x + -2) = -1(x + 4)

Reorder the terms:
8 + 2x + -5(-2 + x) = -1(x + 4)
8 + 2x + (-2 * -5 + x * -5) = -1(x + 4)
8 + 2x + (10 + -5x) = -1(x + 4)

Reorder the terms:
8 + 10 + 2x + -5x = -1(x + 4)

Combine like terms: 8 + 10 = 18
18 + 2x + -5x = -1(x + 4)

Combine like terms: 2x + -5x = -3x
18 + -3x = -1(x + 4)

Reorder the terms:
18 + -3x = -1(4 + x)
18 + -3x = (4 * -1 + x * -1)
18 + -3x = (-4 + -1x)

Solving
18 + -3x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
18 + -3x + x = -4 + -1x + x

Combine like terms: -3x + x = -2x
18 + -2x = -4 + -1x + x

Combine like terms: -1x + x = 0
18 + -2x = -4 + 0
18 + -2x = -4

Add '-18' to each side of the equation.
18 + -18 + -2x = -4 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = -4 + -18
-2x = -4 + -18

Combine like terms: -4 + -18 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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