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

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


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

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

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

Combine like terms: 4 + 5 = 9
-6 + -2x = 9 + -1x

Solving
-6 + -2x = 9 + -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.
-6 + -2x + x = 9 + -1x + x

Combine like terms: -2x + x = -1x
-6 + -1x = 9 + -1x + x

Combine like terms: -1x + x = 0
-6 + -1x = 9 + 0
-6 + -1x = 9

Add '6' to each side of the equation.
-6 + 6 + -1x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 9 + 6
-1x = 9 + 6

Combine like terms: 9 + 6 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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