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

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Solution for -2(x+1)=4x-5x+3(2x+4) equation:


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

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

Reorder the terms:
-2 + -2x = 4x + -5x + 3(4 + 2x)
-2 + -2x = 4x + -5x + (4 * 3 + 2x * 3)
-2 + -2x = 4x + -5x + (12 + 6x)

Reorder the terms:
-2 + -2x = 12 + 4x + -5x + 6x

Combine like terms: 4x + -5x = -1x
-2 + -2x = 12 + -1x + 6x

Combine like terms: -1x + 6x = 5x
-2 + -2x = 12 + 5x

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

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + -2x + -5x = 12 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-2 + -7x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -7x = 12 + 0
-2 + -7x = 12

Add '2' to each side of the equation.
-2 + 2 + -7x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 12 + 2
-7x = 12 + 2

Combine like terms: 12 + 2 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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