(2x+17)=(7x-13)

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Solution for (2x+17)=(7x-13) equation:


Simplifying
(2x + 17) = (7x + -13)

Reorder the terms:
(17 + 2x) = (7x + -13)

Remove parenthesis around (17 + 2x)
17 + 2x = (7x + -13)

Reorder the terms:
17 + 2x = (-13 + 7x)

Remove parenthesis around (-13 + 7x)
17 + 2x = -13 + 7x

Solving
17 + 2x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
17 + 2x + -7x = -13 + 7x + -7x

Combine like terms: 2x + -7x = -5x
17 + -5x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
17 + -5x = -13 + 0
17 + -5x = -13

Add '-17' to each side of the equation.
17 + -17 + -5x = -13 + -17

Combine like terms: 17 + -17 = 0
0 + -5x = -13 + -17
-5x = -13 + -17

Combine like terms: -13 + -17 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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