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

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


Simplifying
(3x + 17) = (0.5x + -5)

Reorder the terms:
(17 + 3x) = (0.5x + -5)

Remove parenthesis around (17 + 3x)
17 + 3x = (0.5x + -5)

Reorder the terms:
17 + 3x = (-5 + 0.5x)

Remove parenthesis around (-5 + 0.5x)
17 + 3x = -5 + 0.5x

Solving
17 + 3x = -5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
17 + 3x + -0.5x = -5 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
17 + 2.5x = -5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
17 + 2.5x = -5 + 0.0
17 + 2.5x = -5

Add '-17' to each side of the equation.
17 + -17 + 2.5x = -5 + -17

Combine like terms: 17 + -17 = 0
0 + 2.5x = -5 + -17
2.5x = -5 + -17

Combine like terms: -5 + -17 = -22
2.5x = -22

Divide each side by '2.5'.
x = -8.8

Simplifying
x = -8.8

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