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

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


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

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

Remove parenthesis around (1 + x)
1 + x + 2(x + -3) + -5 = (x + 2) + -1(x + 3) + 2

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

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

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

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

Combine like terms: x + 2x = 3x
-10 + 3x = (x + 2) + -1(x + 3) + 2

Reorder the terms:
-10 + 3x = (2 + x) + -1(x + 3) + 2

Remove parenthesis around (2 + x)
-10 + 3x = 2 + x + -1(x + 3) + 2

Reorder the terms:
-10 + 3x = 2 + x + -1(3 + x) + 2
-10 + 3x = 2 + x + (3 * -1 + x * -1) + 2
-10 + 3x = 2 + x + (-3 + -1x) + 2

Reorder the terms:
-10 + 3x = 2 + -3 + 2 + x + -1x

Combine like terms: 2 + -3 = -1
-10 + 3x = -1 + 2 + x + -1x

Combine like terms: -1 + 2 = 1
-10 + 3x = 1 + x + -1x

Combine like terms: x + -1x = 0
-10 + 3x = 1 + 0
-10 + 3x = 1

Solving
-10 + 3x = 1

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 3x = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 1 + 10
3x = 1 + 10

Combine like terms: 1 + 10 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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