-2(x-8)=7-(x+4)

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Solution for -2(x-8)=7-(x+4) equation:


Simplifying
-2(x + -8) = 7 + -1(x + 4)

Reorder the terms:
-2(-8 + x) = 7 + -1(x + 4)
(-8 * -2 + x * -2) = 7 + -1(x + 4)
(16 + -2x) = 7 + -1(x + 4)

Reorder the terms:
16 + -2x = 7 + -1(4 + x)
16 + -2x = 7 + (4 * -1 + x * -1)
16 + -2x = 7 + (-4 + -1x)

Combine like terms: 7 + -4 = 3
16 + -2x = 3 + -1x

Solving
16 + -2x = 3 + -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.
16 + -2x + x = 3 + -1x + x

Combine like terms: -2x + x = -1x
16 + -1x = 3 + -1x + x

Combine like terms: -1x + x = 0
16 + -1x = 3 + 0
16 + -1x = 3

Add '-16' to each side of the equation.
16 + -16 + -1x = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 3 + -16
-1x = 3 + -16

Combine like terms: 3 + -16 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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