5[6(x-1)+7]-[3(3x-4)+8]-5(1-x)=

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Solution for 5[6(x-1)+7]-[3(3x-4)+8]-5(1-x)= equation: 


Simplifying
5[6(x + -1) + 7] + -1[3(3x + -4) + 8] + -5(1 + -1x) = 0

Reorder the terms:
5[6(-1 + x) + 7] + -1[3(3x + -4) + 8] + -5(1 + -1x) = 0
5[(-1 * 6 + x * 6) + 7] + -1[3(3x + -4) + 8] + -5(1 + -1x) = 0
5[(-6 + 6x) + 7] + -1[3(3x + -4) + 8] + -5(1 + -1x) = 0

Reorder the terms:
5[-6 + 7 + 6x] + -1[3(3x + -4) + 8] + -5(1 + -1x) = 0

Combine like terms: -6 + 7 = 1
5[1 + 6x] + -1[3(3x + -4) + 8] + -5(1 + -1x) = 0
[1 * 5 + 6x * 5] + -1[3(3x + -4) + 8] + -5(1 + -1x) = 0
[5 + 30x] + -1[3(3x + -4) + 8] + -5(1 + -1x) = 0

Reorder the terms:
5 + 30x + -1[3(-4 + 3x) + 8] + -5(1 + -1x) = 0
5 + 30x + -1[(-4 * 3 + 3x * 3) + 8] + -5(1 + -1x) = 0
5 + 30x + -1[(-12 + 9x) + 8] + -5(1 + -1x) = 0

Reorder the terms:
5 + 30x + -1[-12 + 8 + 9x] + -5(1 + -1x) = 0

Combine like terms: -12 + 8 = -4
5 + 30x + -1[-4 + 9x] + -5(1 + -1x) = 0
5 + 30x + [-4 * -1 + 9x * -1] + -5(1 + -1x) = 0
5 + 30x + [4 + -9x] + -5(1 + -1x) = 0
5 + 30x + 4 + -9x + (1 * -5 + -1x * -5) = 0
5 + 30x + 4 + -9x + (-5 + 5x) = 0

Reorder the terms:
5 + 4 + -5 + 30x + -9x + 5x = 0

Combine like terms: 5 + 4 = 9
9 + -5 + 30x + -9x + 5x = 0

Combine like terms: 9 + -5 = 4
4 + 30x + -9x + 5x = 0

Combine like terms: 30x + -9x = 21x
4 + 21x + 5x = 0

Combine like terms: 21x + 5x = 26x
4 + 26x = 0

Solving
4 + 26x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 26x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 26x = 0 + -4
26x = 0 + -4

Combine like terms: 0 + -4 = -4
26x = -4

Divide each side by '26'.
x = -0.1538461538

Simplifying
x = -0.1538461538

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