2[-(x-1)+4]=5+[-(6x-10)+9x]

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Solution for 2[-(x-1)+4]=5+[-(6x-10)+9x] equation:


Simplifying
2[-1(x + -1) + 4] = 5 + [-1(6x + -10) + 9x]

Reorder the terms:
2[-1(-1 + x) + 4] = 5 + [-1(6x + -10) + 9x]
2[(-1 * -1 + x * -1) + 4] = 5 + [-1(6x + -10) + 9x]
2[(1 + -1x) + 4] = 5 + [-1(6x + -10) + 9x]

Reorder the terms:
2[1 + 4 + -1x] = 5 + [-1(6x + -10) + 9x]

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

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

Combine like terms: -6x + 9x = 3x
10 + -2x = 5 + [10 + 3x]

Remove brackets around [10 + 3x]
10 + -2x = 5 + 10 + 3x

Combine like terms: 5 + 10 = 15
10 + -2x = 15 + 3x

Solving
10 + -2x = 15 + 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 = 15 + 3x + -3x

Combine like terms: -2x + -3x = -5x
10 + -5x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -5x = 15 + 0
10 + -5x = 15

Add '-10' to each side of the equation.
10 + -10 + -5x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 15 + -10
-5x = 15 + -10

Combine like terms: 15 + -10 = 5
-5x = 5

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

Simplifying
x = -1

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