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

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


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

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

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

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

Add '10' to each side of the equation.
-10 + 10 + 5x = -10 + 10 + 5x

Combine like terms: -10 + 10 = 0
0 + 5x = -10 + 10 + 5x
5x = -10 + 10 + 5x

Combine like terms: -10 + 10 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 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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