(2x+17)=(5x-40)

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Solution for (2x+17)=(5x-40) equation:


Simplifying
(2x + 17) = (5x + -40)

Reorder the terms:
(17 + 2x) = (5x + -40)

Remove parenthesis around (17 + 2x)
17 + 2x = (5x + -40)

Reorder the terms:
17 + 2x = (-40 + 5x)

Remove parenthesis around (-40 + 5x)
17 + 2x = -40 + 5x

Solving
17 + 2x = -40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
17 + 2x + -5x = -40 + 5x + -5x

Combine like terms: 2x + -5x = -3x
17 + -3x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -3x = -40 + 0
17 + -3x = -40

Add '-17' to each side of the equation.
17 + -17 + -3x = -40 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = -40 + -17
-3x = -40 + -17

Combine like terms: -40 + -17 = -57
-3x = -57

Divide each side by '-3'.
x = 19

Simplifying
x = 19

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