8x-4[2x-5(3x+1)]-2[x-(x-1)]=0

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Solution for 8x-4[2x-5(3x+1)]-2[x-(x-1)]=0 equation:


Simplifying
8x + -4[2x + -5(3x + 1)] + -2[x + -1(x + -1)] = 0

Reorder the terms:
8x + -4[2x + -5(1 + 3x)] + -2[x + -1(x + -1)] = 0
8x + -4[2x + (1 * -5 + 3x * -5)] + -2[x + -1(x + -1)] = 0
8x + -4[2x + (-5 + -15x)] + -2[x + -1(x + -1)] = 0

Reorder the terms:
8x + -4[-5 + 2x + -15x] + -2[x + -1(x + -1)] = 0

Combine like terms: 2x + -15x = -13x
8x + -4[-5 + -13x] + -2[x + -1(x + -1)] = 0
8x + [-5 * -4 + -13x * -4] + -2[x + -1(x + -1)] = 0
8x + [20 + 52x] + -2[x + -1(x + -1)] = 0

Reorder the terms:
8x + 20 + 52x + -2[x + -1(-1 + x)] = 0
8x + 20 + 52x + -2[x + (-1 * -1 + x * -1)] = 0
8x + 20 + 52x + -2[x + (1 + -1x)] = 0

Reorder the terms:
8x + 20 + 52x + -2[1 + x + -1x] = 0

Combine like terms: x + -1x = 0
8x + 20 + 52x + -2[1 + 0] = 0
8x + 20 + 52x + -2[1] = 0

Multiply -2 * 1
8x + 20 + 52x + -2 = 0

Reorder the terms:
20 + -2 + 8x + 52x = 0

Combine like terms: 20 + -2 = 18
18 + 8x + 52x = 0

Combine like terms: 8x + 52x = 60x
18 + 60x = 0

Solving
18 + 60x = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 60x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 60x = 0 + -18
60x = 0 + -18

Combine like terms: 0 + -18 = -18
60x = -18

Divide each side by '60'.
x = -0.3

Simplifying
x = -0.3

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