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

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


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

Reorder the terms:
5(-3 + x) + -2(x + -1) = 3x + -13
(-3 * 5 + x * 5) + -2(x + -1) = 3x + -13
(-15 + 5x) + -2(x + -1) = 3x + -13

Reorder the terms:
-15 + 5x + -2(-1 + x) = 3x + -13
-15 + 5x + (-1 * -2 + x * -2) = 3x + -13
-15 + 5x + (2 + -2x) = 3x + -13

Reorder the terms:
-15 + 2 + 5x + -2x = 3x + -13

Combine like terms: -15 + 2 = -13
-13 + 5x + -2x = 3x + -13

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

Reorder the terms:
-13 + 3x = -13 + 3x

Add '13' to each side of the equation.
-13 + 13 + 3x = -13 + 13 + 3x

Combine like terms: -13 + 13 = 0
0 + 3x = -13 + 13 + 3x
3x = -13 + 13 + 3x

Combine like terms: -13 + 13 = 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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