-2(3x+4)-x+6=-2(x+1)+5

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Solution for -2(3x+4)-x+6=-2(x+1)+5 equation:


Simplifying
-2(3x + 4) + -1x + 6 = -2(x + 1) + 5

Reorder the terms:
-2(4 + 3x) + -1x + 6 = -2(x + 1) + 5
(4 * -2 + 3x * -2) + -1x + 6 = -2(x + 1) + 5
(-8 + -6x) + -1x + 6 = -2(x + 1) + 5

Reorder the terms:
-8 + 6 + -6x + -1x = -2(x + 1) + 5

Combine like terms: -8 + 6 = -2
-2 + -6x + -1x = -2(x + 1) + 5

Combine like terms: -6x + -1x = -7x
-2 + -7x = -2(x + 1) + 5

Reorder the terms:
-2 + -7x = -2(1 + x) + 5
-2 + -7x = (1 * -2 + x * -2) + 5
-2 + -7x = (-2 + -2x) + 5

Reorder the terms:
-2 + -7x = -2 + 5 + -2x

Combine like terms: -2 + 5 = 3
-2 + -7x = 3 + -2x

Solving
-2 + -7x = 3 + -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.
-2 + -7x + 2x = 3 + -2x + 2x

Combine like terms: -7x + 2x = -5x
-2 + -5x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + -5x = 3 + 0
-2 + -5x = 3

Add '2' to each side of the equation.
-2 + 2 + -5x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 3 + 2
-5x = 3 + 2

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

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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