2[x-(-3x)-(-5)-7]=-3[2x-11-(-7)]+8

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Solution for 2[x-(-3x)-(-5)-7]=-3[2x-11-(-7)]+8 equation: 


Simplifying
2[x + -1(-3x) + -1(-5) + -7] = -3[2x + -11 + -1(-7)] + 8

Remove parenthesis around (-3x)
2[x + -1 * -3x + -1(-5) + -7] = -3[2x + -11 + -1(-7)] + 8

Multiply -1 * -3
2[x + 3x + -1(-5) + -7] = -3[2x + -11 + -1(-7)] + 8

Multiply -1 * -5
2[x + 3x + 5 + -7] = -3[2x + -11 + -1(-7)] + 8

Reorder the terms:
2[5 + -7 + x + 3x] = -3[2x + -11 + -1(-7)] + 8

Combine like terms: 5 + -7 = -2
2[-2 + x + 3x] = -3[2x + -11 + -1(-7)] + 8

Combine like terms: x + 3x = 4x
2[-2 + 4x] = -3[2x + -11 + -1(-7)] + 8
[-2 * 2 + 4x * 2] = -3[2x + -11 + -1(-7)] + 8
[-4 + 8x] = -3[2x + -11 + -1(-7)] + 8

Multiply -1 * -7
-4 + 8x = -3[2x + -11 + 7] + 8

Reorder the terms:
-4 + 8x = -3[-11 + 7 + 2x] + 8

Combine like terms: -11 + 7 = -4
-4 + 8x = -3[-4 + 2x] + 8
-4 + 8x = [-4 * -3 + 2x * -3] + 8
-4 + 8x = [12 + -6x] + 8

Reorder the terms:
-4 + 8x = 12 + 8 + -6x

Combine like terms: 12 + 8 = 20
-4 + 8x = 20 + -6x

Solving
-4 + 8x = 20 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-4 + 8x + 6x = 20 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-4 + 14x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 14x = 20 + 0
-4 + 14x = 20

Add '4' to each side of the equation.
-4 + 4 + 14x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 20 + 4
14x = 20 + 4

Combine like terms: 20 + 4 = 24
14x = 24

Divide each side by '14'.
x = 1.714285714

Simplifying
x = 1.714285714

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