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

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


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

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

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

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

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

Reorder the terms:
3 + 2x = 6 + -3 + 2x

Combine like terms: 6 + -3 = 3
3 + 2x = 3 + 2x

Add '-3' to each side of the equation.
3 + -3 + 2x = 3 + -3 + 2x

Combine like terms: 3 + -3 = 0
0 + 2x = 3 + -3 + 2x
2x = 3 + -3 + 2x

Combine like terms: 3 + -3 = 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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