80=2x+3(5x-13)

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Solution for 80=2x+3(5x-13) equation:


Simplifying
80 = 2x + 3(5x + -13)

Reorder the terms:
80 = 2x + 3(-13 + 5x)
80 = 2x + (-13 * 3 + 5x * 3)
80 = 2x + (-39 + 15x)

Reorder the terms:
80 = -39 + 2x + 15x

Combine like terms: 2x + 15x = 17x
80 = -39 + 17x

Solving
80 = -39 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
80 + -17x = -39 + 17x + -17x

Combine like terms: 17x + -17x = 0
80 + -17x = -39 + 0
80 + -17x = -39

Add '-80' to each side of the equation.
80 + -80 + -17x = -39 + -80

Combine like terms: 80 + -80 = 0
0 + -17x = -39 + -80
-17x = -39 + -80

Combine like terms: -39 + -80 = -119
-17x = -119

Divide each side by '-17'.
x = 7

Simplifying
x = 7

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