(3x+7)=(5x-17)

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Solution for (3x+7)=(5x-17) equation:


Simplifying
(3x + 7) = (5x + -17)

Reorder the terms:
(7 + 3x) = (5x + -17)

Remove parenthesis around (7 + 3x)
7 + 3x = (5x + -17)

Reorder the terms:
7 + 3x = (-17 + 5x)

Remove parenthesis around (-17 + 5x)
7 + 3x = -17 + 5x

Solving
7 + 3x = -17 + 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.
7 + 3x + -5x = -17 + 5x + -5x

Combine like terms: 3x + -5x = -2x
7 + -2x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -2x = -17 + 0
7 + -2x = -17

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

Combine like terms: 7 + -7 = 0
0 + -2x = -17 + -7
-2x = -17 + -7

Combine like terms: -17 + -7 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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