(x+17)5=(109-2x)3

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Solution for (x+17)5=(109-2x)3 equation: 


Simplifying
(x + 17) * 5 = (109 + -2x) * 3

Reorder the terms:
(17 + x) * 5 = (109 + -2x) * 3

Reorder the terms for easier multiplication:
5(17 + x) = (109 + -2x) * 3
(17 * 5 + x * 5) = (109 + -2x) * 3
(85 + 5x) = (109 + -2x) * 3

Reorder the terms for easier multiplication:
85 + 5x = 3(109 + -2x)
85 + 5x = (109 * 3 + -2x * 3)
85 + 5x = (327 + -6x)

Solving
85 + 5x = 327 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
85 + 5x + 6x = 327 + -6x + 6x

Combine like terms: 5x + 6x = 11x
85 + 11x = 327 + -6x + 6x

Combine like terms: -6x + 6x = 0
85 + 11x = 327 + 0
85 + 11x = 327

Add '-85' to each side of the equation.
85 + -85 + 11x = 327 + -85

Combine like terms: 85 + -85 = 0
0 + 11x = 327 + -85
11x = 327 + -85

Combine like terms: 327 + -85 = 242
11x = 242

Divide each side by '11'.
x = 22

Simplifying
x = 22

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