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

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


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

Reorder the terms:
-2x + 4(-3 + x) = -1(x + 5)
-2x + (-3 * 4 + x * 4) = -1(x + 5)
-2x + (-12 + 4x) = -1(x + 5)

Reorder the terms:
-12 + -2x + 4x = -1(x + 5)

Combine like terms: -2x + 4x = 2x
-12 + 2x = -1(x + 5)

Reorder the terms:
-12 + 2x = -1(5 + x)
-12 + 2x = (5 * -1 + x * -1)
-12 + 2x = (-5 + -1x)

Solving
-12 + 2x = -5 + -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.
-12 + 2x + x = -5 + -1x + x

Combine like terms: 2x + x = 3x
-12 + 3x = -5 + -1x + x

Combine like terms: -1x + x = 0
-12 + 3x = -5 + 0
-12 + 3x = -5

Add '12' to each side of the equation.
-12 + 12 + 3x = -5 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -5 + 12
3x = -5 + 12

Combine like terms: -5 + 12 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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