3x+5-5x=-50+13x-20

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Solution for 3x+5-5x=-50+13x-20 equation:


Simplifying
3x + 5 + -5x = -50 + 13x + -20

Reorder the terms:
5 + 3x + -5x = -50 + 13x + -20

Combine like terms: 3x + -5x = -2x
5 + -2x = -50 + 13x + -20

Reorder the terms:
5 + -2x = -50 + -20 + 13x

Combine like terms: -50 + -20 = -70
5 + -2x = -70 + 13x

Solving
5 + -2x = -70 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
5 + -2x + -13x = -70 + 13x + -13x

Combine like terms: -2x + -13x = -15x
5 + -15x = -70 + 13x + -13x

Combine like terms: 13x + -13x = 0
5 + -15x = -70 + 0
5 + -15x = -70

Add '-5' to each side of the equation.
5 + -5 + -15x = -70 + -5

Combine like terms: 5 + -5 = 0
0 + -15x = -70 + -5
-15x = -70 + -5

Combine like terms: -70 + -5 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5

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