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

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


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

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

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

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

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

Solving
7 + x = -17 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 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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