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

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


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

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

Combine like terms: 5x + -3x = 2x
10 + 2x = -2(x + -5) + 4x

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

Combine like terms: -2x + 4x = 2x
10 + 2x = 10 + 2x

Add '-10' to each side of the equation.
10 + -10 + 2x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
0 + 2x = 10 + -10 + 2x
2x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 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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