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

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


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

Reorder the terms:
-1[2(-3 + 3x) + -1(1 + x)] + -1[5(3 + -2x) + -1(1 + x)] = 0
-1[(-3 * 2 + 3x * 2) + -1(1 + x)] + -1[5(3 + -2x) + -1(1 + x)] = 0
-1[(-6 + 6x) + -1(1 + x)] + -1[5(3 + -2x) + -1(1 + x)] = 0
-1[-6 + 6x + (1 * -1 + x * -1)] + -1[5(3 + -2x) + -1(1 + x)] = 0
-1[-6 + 6x + (-1 + -1x)] + -1[5(3 + -2x) + -1(1 + x)] = 0

Reorder the terms:
-1[-6 + -1 + 6x + -1x] + -1[5(3 + -2x) + -1(1 + x)] = 0

Combine like terms: -6 + -1 = -7
-1[-7 + 6x + -1x] + -1[5(3 + -2x) + -1(1 + x)] = 0

Combine like terms: 6x + -1x = 5x
-1[-7 + 5x] + -1[5(3 + -2x) + -1(1 + x)] = 0
[-7 * -1 + 5x * -1] + -1[5(3 + -2x) + -1(1 + x)] = 0
[7 + -5x] + -1[5(3 + -2x) + -1(1 + x)] = 0
7 + -5x + -1[(3 * 5 + -2x * 5) + -1(1 + x)] = 0
7 + -5x + -1[(15 + -10x) + -1(1 + x)] = 0
7 + -5x + -1[15 + -10x + (1 * -1 + x * -1)] = 0
7 + -5x + -1[15 + -10x + (-1 + -1x)] = 0

Reorder the terms:
7 + -5x + -1[15 + -1 + -10x + -1x] = 0

Combine like terms: 15 + -1 = 14
7 + -5x + -1[14 + -10x + -1x] = 0

Combine like terms: -10x + -1x = -11x
7 + -5x + -1[14 + -11x] = 0
7 + -5x + [14 * -1 + -11x * -1] = 0
7 + -5x + [-14 + 11x] = 0

Reorder the terms:
7 + -14 + -5x + 11x = 0

Combine like terms: 7 + -14 = -7
-7 + -5x + 11x = 0

Combine like terms: -5x + 11x = 6x
-7 + 6x = 0

Solving
-7 + 6x = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 0 + 7
6x = 0 + 7

Combine like terms: 0 + 7 = 7
6x = 7

Divide each side by '6'.
x = 1.166666667

Simplifying
x = 1.166666667

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