2(x+1)-3(x-1)=4+2(5-3x)+1

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Solution for 2(x+1)-3(x-1)=4+2(5-3x)+1 equation: 


Simplifying
2(x + 1) + -3(x + -1) = 4 + 2(5 + -3x) + 1

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

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

Reorder the terms:
2 + 3 + 2x + -3x = 4 + 2(5 + -3x) + 1

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

Combine like terms: 2x + -3x = -1x
5 + -1x = 4 + 2(5 + -3x) + 1
5 + -1x = 4 + (5 * 2 + -3x * 2) + 1
5 + -1x = 4 + (10 + -6x) + 1

Reorder the terms:
5 + -1x = 4 + 10 + 1 + -6x

Combine like terms: 4 + 10 = 14
5 + -1x = 14 + 1 + -6x

Combine like terms: 14 + 1 = 15
5 + -1x = 15 + -6x

Solving
5 + -1x = 15 + -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.
5 + -1x + 6x = 15 + -6x + 6x

Combine like terms: -1x + 6x = 5x
5 + 5x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 5x = 15 + 0
5 + 5x = 15

Add '-5' to each side of the equation.
5 + -5 + 5x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 15 + -5
5x = 15 + -5

Combine like terms: 15 + -5 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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