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

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


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

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

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

Combine like terms: 8 + 6 = 14
14 + 6x + -1x = -5x + -2(x + 1) + 5

Combine like terms: 6x + -1x = 5x
14 + 5x = -5x + -2(x + 1) + 5

Reorder the terms:
14 + 5x = -5x + -2(1 + x) + 5
14 + 5x = -5x + (1 * -2 + x * -2) + 5
14 + 5x = -5x + (-2 + -2x) + 5

Reorder the terms:
14 + 5x = -2 + 5 + -5x + -2x

Combine like terms: -2 + 5 = 3
14 + 5x = 3 + -5x + -2x

Combine like terms: -5x + -2x = -7x
14 + 5x = 3 + -7x

Solving
14 + 5x = 3 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
14 + 5x + 7x = 3 + -7x + 7x

Combine like terms: 5x + 7x = 12x
14 + 12x = 3 + -7x + 7x

Combine like terms: -7x + 7x = 0
14 + 12x = 3 + 0
14 + 12x = 3

Add '-14' to each side of the equation.
14 + -14 + 12x = 3 + -14

Combine like terms: 14 + -14 = 0
0 + 12x = 3 + -14
12x = 3 + -14

Combine like terms: 3 + -14 = -11
12x = -11

Divide each side by '12'.
x = -0.9166666667

Simplifying
x = -0.9166666667

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