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 brackets 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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