4-3(2x-3)+2x=(10-3x)-(x-3)

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Solution for 4-3(2x-3)+2x=(10-3x)-(x-3) equation:


Simplifying
4 + -3(2x + -3) + 2x = (10 + -3x) + -1(x + -3)

Reorder the terms:
4 + -3(-3 + 2x) + 2x = (10 + -3x) + -1(x + -3)
4 + (-3 * -3 + 2x * -3) + 2x = (10 + -3x) + -1(x + -3)
4 + (9 + -6x) + 2x = (10 + -3x) + -1(x + -3)

Combine like terms: 4 + 9 = 13
13 + -6x + 2x = (10 + -3x) + -1(x + -3)

Combine like terms: -6x + 2x = -4x
13 + -4x = (10 + -3x) + -1(x + -3)

Remove parenthesis around (10 + -3x)
13 + -4x = 10 + -3x + -1(x + -3)

Reorder the terms:
13 + -4x = 10 + -3x + -1(-3 + x)
13 + -4x = 10 + -3x + (-3 * -1 + x * -1)
13 + -4x = 10 + -3x + (3 + -1x)

Reorder the terms:
13 + -4x = 10 + 3 + -3x + -1x

Combine like terms: 10 + 3 = 13
13 + -4x = 13 + -3x + -1x

Combine like terms: -3x + -1x = -4x
13 + -4x = 13 + -4x

Add '-13' to each side of the equation.
13 + -13 + -4x = 13 + -13 + -4x

Combine like terms: 13 + -13 = 0
0 + -4x = 13 + -13 + -4x
-4x = 13 + -13 + -4x

Combine like terms: 13 + -13 = 0
-4x = 0 + -4x
-4x = -4x

Add '4x' to each side of the equation.
-4x + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
0 = -4x + 4x

Combine like terms: -4x + 4x = 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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