2(-(x-1)+4)=5+(-(6x-7)+9x)

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Solution for 2(-(x-1)+4)=5+(-(6x-7)+9x) equation:


Simplifying
2(-1(x + -1) + 4) = 5 + (-1(6x + -7) + 9x)

Reorder the terms:
2(-1(-1 + x) + 4) = 5 + (-1(6x + -7) + 9x)
2((-1 * -1 + x * -1) + 4) = 5 + (-1(6x + -7) + 9x)
2((1 + -1x) + 4) = 5 + (-1(6x + -7) + 9x)

Reorder the terms:
2(1 + 4 + -1x) = 5 + (-1(6x + -7) + 9x)

Combine like terms: 1 + 4 = 5
2(5 + -1x) = 5 + (-1(6x + -7) + 9x)
(5 * 2 + -1x * 2) = 5 + (-1(6x + -7) + 9x)
(10 + -2x) = 5 + (-1(6x + -7) + 9x)

Reorder the terms:
10 + -2x = 5 + (-1(-7 + 6x) + 9x)
10 + -2x = 5 + ((-7 * -1 + 6x * -1) + 9x)
10 + -2x = 5 + ((7 + -6x) + 9x)

Combine like terms: -6x + 9x = 3x
10 + -2x = 5 + (7 + 3x)

Remove parenthesis around (7 + 3x)
10 + -2x = 5 + 7 + 3x

Combine like terms: 5 + 7 = 12
10 + -2x = 12 + 3x

Solving
10 + -2x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -2x + -3x = 12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
10 + -5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -5x = 12 + 0
10 + -5x = 12

Add '-10' to each side of the equation.
10 + -10 + -5x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 12 + -10
-5x = 12 + -10

Combine like terms: 12 + -10 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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