3x+7=2(x+5)-(3-x)

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Solution for 3x+7=2(x+5)-(3-x) equation:


Simplifying
3x + 7 = 2(x + 5) + -1(3 + -1x)

Reorder the terms:
7 + 3x = 2(x + 5) + -1(3 + -1x)

Reorder the terms:
7 + 3x = 2(5 + x) + -1(3 + -1x)
7 + 3x = (5 * 2 + x * 2) + -1(3 + -1x)
7 + 3x = (10 + 2x) + -1(3 + -1x)
7 + 3x = 10 + 2x + (3 * -1 + -1x * -1)
7 + 3x = 10 + 2x + (-3 + 1x)

Reorder the terms:
7 + 3x = 10 + -3 + 2x + 1x

Combine like terms: 10 + -3 = 7
7 + 3x = 7 + 2x + 1x

Combine like terms: 2x + 1x = 3x
7 + 3x = 7 + 3x

Add '-7' to each side of the equation.
7 + -7 + 3x = 7 + -7 + 3x

Combine like terms: 7 + -7 = 0
0 + 3x = 7 + -7 + 3x
3x = 7 + -7 + 3x

Combine like terms: 7 + -7 = 0
3x = 0 + 3x
3x = 3x

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

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

Combine like terms: 3x + -3x = 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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