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

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


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

Reorder the terms:
2(5 + 2x) + -1(3x + 1) + 1 = 3(x + 4) + -1(2x + 2)
(5 * 2 + 2x * 2) + -1(3x + 1) + 1 = 3(x + 4) + -1(2x + 2)
(10 + 4x) + -1(3x + 1) + 1 = 3(x + 4) + -1(2x + 2)

Reorder the terms:
10 + 4x + -1(1 + 3x) + 1 = 3(x + 4) + -1(2x + 2)
10 + 4x + (1 * -1 + 3x * -1) + 1 = 3(x + 4) + -1(2x + 2)
10 + 4x + (-1 + -3x) + 1 = 3(x + 4) + -1(2x + 2)

Reorder the terms:
10 + -1 + 1 + 4x + -3x = 3(x + 4) + -1(2x + 2)

Combine like terms: 10 + -1 = 9
9 + 1 + 4x + -3x = 3(x + 4) + -1(2x + 2)

Combine like terms: 9 + 1 = 10
10 + 4x + -3x = 3(x + 4) + -1(2x + 2)

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

Reorder the terms:
10 + 1x = 3(4 + x) + -1(2x + 2)
10 + 1x = (4 * 3 + x * 3) + -1(2x + 2)
10 + 1x = (12 + 3x) + -1(2x + 2)

Reorder the terms:
10 + 1x = 12 + 3x + -1(2 + 2x)
10 + 1x = 12 + 3x + (2 * -1 + 2x * -1)
10 + 1x = 12 + 3x + (-2 + -2x)

Reorder the terms:
10 + 1x = 12 + -2 + 3x + -2x

Combine like terms: 12 + -2 = 10
10 + 1x = 10 + 3x + -2x

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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