5(x-10)+13=3x+2(x-3)

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Solution for 5(x-10)+13=3x+2(x-3) equation:


Simplifying
5(x + -10) + 13 = 3x + 2(x + -3)

Reorder the terms:
5(-10 + x) + 13 = 3x + 2(x + -3)
(-10 * 5 + x * 5) + 13 = 3x + 2(x + -3)
(-50 + 5x) + 13 = 3x + 2(x + -3)

Reorder the terms:
-50 + 13 + 5x = 3x + 2(x + -3)

Combine like terms: -50 + 13 = -37
-37 + 5x = 3x + 2(x + -3)

Reorder the terms:
-37 + 5x = 3x + 2(-3 + x)
-37 + 5x = 3x + (-3 * 2 + x * 2)
-37 + 5x = 3x + (-6 + 2x)

Reorder the terms:
-37 + 5x = -6 + 3x + 2x

Combine like terms: 3x + 2x = 5x
-37 + 5x = -6 + 5x

Add '-5x' to each side of the equation.
-37 + 5x + -5x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-37 + 0 = -6 + 5x + -5x
-37 = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-37 = -6 + 0
-37 = -6

Solving
-37 = -6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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