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

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


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

Reorder the terms:
3(1 + x) + -1[2(3 + -2x) + -3(3 + -1x)] = 2(x + 5) + -2
(1 * 3 + x * 3) + -1[2(3 + -2x) + -3(3 + -1x)] = 2(x + 5) + -2
(3 + 3x) + -1[2(3 + -2x) + -3(3 + -1x)] = 2(x + 5) + -2
3 + 3x + -1[(3 * 2 + -2x * 2) + -3(3 + -1x)] = 2(x + 5) + -2
3 + 3x + -1[(6 + -4x) + -3(3 + -1x)] = 2(x + 5) + -2
3 + 3x + -1[6 + -4x + (3 * -3 + -1x * -3)] = 2(x + 5) + -2
3 + 3x + -1[6 + -4x + (-9 + 3x)] = 2(x + 5) + -2

Reorder the terms:
3 + 3x + -1[6 + -9 + -4x + 3x] = 2(x + 5) + -2

Combine like terms: 6 + -9 = -3
3 + 3x + -1[-3 + -4x + 3x] = 2(x + 5) + -2

Combine like terms: -4x + 3x = -1x
3 + 3x + -1[-3 + -1x] = 2(x + 5) + -2
3 + 3x + [-3 * -1 + -1x * -1] = 2(x + 5) + -2
3 + 3x + [3 + 1x] = 2(x + 5) + -2

Reorder the terms:
3 + 3 + 3x + 1x = 2(x + 5) + -2

Combine like terms: 3 + 3 = 6
6 + 3x + 1x = 2(x + 5) + -2

Combine like terms: 3x + 1x = 4x
6 + 4x = 2(x + 5) + -2

Reorder the terms:
6 + 4x = 2(5 + x) + -2
6 + 4x = (5 * 2 + x * 2) + -2
6 + 4x = (10 + 2x) + -2

Reorder the terms:
6 + 4x = 10 + -2 + 2x

Combine like terms: 10 + -2 = 8
6 + 4x = 8 + 2x

Solving
6 + 4x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 4x + -2x = 8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
6 + 2x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 2x = 8 + 0
6 + 2x = 8

Add '-6' to each side of the equation.
6 + -6 + 2x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 8 + -6
2x = 8 + -6

Combine like terms: 8 + -6 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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