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

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


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

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

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

Remove parenthesis around (5 + 4x)
2 + 2x = 5 + 4x + -1(2x + 3)

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

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

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

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

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

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

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

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

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

Combine like terms: 2x + -2x = 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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