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

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

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

Combine like terms: -3 + -9 = -12
-12 + 3x + 4x + 3x = 2(x + 5) + -2

Combine like terms: 3x + 4x = 7x
-12 + 7x + 3x = 2(x + 5) + -2

Combine like terms: 7x + 3x = 10x
-12 + 10x = 2(x + 5) + -2

Reorder the terms:
-12 + 10x = 2(5 + x) + -2
-12 + 10x = (5 * 2 + x * 2) + -2
-12 + 10x = (10 + 2x) + -2

Reorder the terms:
-12 + 10x = 10 + -2 + 2x

Combine like terms: 10 + -2 = 8
-12 + 10x = 8 + 2x

Solving
-12 + 10x = 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.
-12 + 10x + -2x = 8 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-12 + 8x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 8x = 8 + 0
-12 + 8x = 8

Add '12' to each side of the equation.
-12 + 12 + 8x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 8 + 12
8x = 8 + 12

Combine like terms: 8 + 12 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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