3(x-1)-2(1-3x)-3[(6+x)-1]=-15

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Solution for 3(x-1)-2(1-3x)-3[(6+x)-1]=-15 equation: 


Simplifying
3(x + -1) + -2(1 + -3x) + -3[(6 + x) + -1] = -15

Reorder the terms:
3(-1 + x) + -2(1 + -3x) + -3[(6 + x) + -1] = -15
(-1 * 3 + x * 3) + -2(1 + -3x) + -3[(6 + x) + -1] = -15
(-3 + 3x) + -2(1 + -3x) + -3[(6 + x) + -1] = -15
-3 + 3x + (1 * -2 + -3x * -2) + -3[(6 + x) + -1] = -15
-3 + 3x + (-2 + 6x) + -3[(6 + x) + -1] = -15

Remove parenthesis around (6 + x)
-3 + 3x + -2 + 6x + -3[6 + x + -1] = -15

Reorder the terms:
-3 + 3x + -2 + 6x + -3[6 + -1 + x] = -15

Combine like terms: 6 + -1 = 5
-3 + 3x + -2 + 6x + -3[5 + x] = -15
-3 + 3x + -2 + 6x + [5 * -3 + x * -3] = -15
-3 + 3x + -2 + 6x + [-15 + -3x] = -15

Reorder the terms:
-3 + -2 + -15 + 3x + 6x + -3x = -15

Combine like terms: -3 + -2 = -5
-5 + -15 + 3x + 6x + -3x = -15

Combine like terms: -5 + -15 = -20
-20 + 3x + 6x + -3x = -15

Combine like terms: 3x + 6x = 9x
-20 + 9x + -3x = -15

Combine like terms: 9x + -3x = 6x
-20 + 6x = -15

Solving
-20 + 6x = -15

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 6x = -15 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = -15 + 20
6x = -15 + 20

Combine like terms: -15 + 20 = 5
6x = 5

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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