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

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Solution for 3x-3(x-5)+5(x-2)=5(x+1) equation:


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

Reorder the terms:
3x + -3(-5 + x) + 5(x + -2) = 5(x + 1)
3x + (-5 * -3 + x * -3) + 5(x + -2) = 5(x + 1)
3x + (15 + -3x) + 5(x + -2) = 5(x + 1)

Reorder the terms:
3x + 15 + -3x + 5(-2 + x) = 5(x + 1)
3x + 15 + -3x + (-2 * 5 + x * 5) = 5(x + 1)
3x + 15 + -3x + (-10 + 5x) = 5(x + 1)

Reorder the terms:
15 + -10 + 3x + -3x + 5x = 5(x + 1)

Combine like terms: 15 + -10 = 5
5 + 3x + -3x + 5x = 5(x + 1)

Combine like terms: 3x + -3x = 0
5 + 0 + 5x = 5(x + 1)
5 + 5x = 5(x + 1)

Reorder the terms:
5 + 5x = 5(1 + x)
5 + 5x = (1 * 5 + x * 5)
5 + 5x = (5 + 5x)

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

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

Combine like terms: 5 + -5 = 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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