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

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Solution for 15-(x+4)=-2(x-2) equation: 


Simplifying
15 + -1(x + 4) = -2(x + -2)

Reorder the terms:
15 + -1(4 + x) = -2(x + -2)
15 + (4 * -1 + x * -1) = -2(x + -2)
15 + (-4 + -1x) = -2(x + -2)

Combine like terms: 15 + -4 = 11
11 + -1x = -2(x + -2)

Reorder the terms:
11 + -1x = -2(-2 + x)
11 + -1x = (-2 * -2 + x * -2)
11 + -1x = (4 + -2x)

Solving
11 + -1x = 4 + -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.
11 + -1x + 2x = 4 + -2x + 2x

Combine like terms: -1x + 2x = 1x
11 + 1x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 1x = 4 + 0
11 + 1x = 4

Add '-11' to each side of the equation.
11 + -11 + 1x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 4 + -11
1x = 4 + -11

Combine like terms: 4 + -11 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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