(17x+2)=(20x-7)

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Solution for (17x+2)=(20x-7) equation:


Simplifying
(17x + 2) = (20x + -7)

Reorder the terms:
(2 + 17x) = (20x + -7)

Remove parenthesis around (2 + 17x)
2 + 17x = (20x + -7)

Reorder the terms:
2 + 17x = (-7 + 20x)

Remove parenthesis around (-7 + 20x)
2 + 17x = -7 + 20x

Solving
2 + 17x = -7 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
2 + 17x + -20x = -7 + 20x + -20x

Combine like terms: 17x + -20x = -3x
2 + -3x = -7 + 20x + -20x

Combine like terms: 20x + -20x = 0
2 + -3x = -7 + 0
2 + -3x = -7

Add '-2' to each side of the equation.
2 + -2 + -3x = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -7 + -2
-3x = -7 + -2

Combine like terms: -7 + -2 = -9
-3x = -9

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

Simplifying
x = 3

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