13+3(x-1)=5x-2(x-5)

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Solution for 13+3(x-1)=5x-2(x-5) equation: 


Simplifying
13 + 3(x + -1) = 5x + -2(x + -5)

Reorder the terms:
13 + 3(-1 + x) = 5x + -2(x + -5)
13 + (-1 * 3 + x * 3) = 5x + -2(x + -5)
13 + (-3 + 3x) = 5x + -2(x + -5)

Combine like terms: 13 + -3 = 10
10 + 3x = 5x + -2(x + -5)

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

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

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 10 + -10 + 3x

Combine like terms: 10 + -10 = 0
0 + 3x = 10 + -10 + 3x
3x = 10 + -10 + 3x

Combine like terms: 10 + -10 = 0
3x = 0 + 3x
3x = 3x

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

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

Combine like terms: 3x + -3x = 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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