17.5+x=-6.5(3x-6)

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Solution for 17.5+x=-6.5(3x-6) equation: 


Simplifying
17.5 + x = -6.5(3x + -6)

Reorder the terms:
17.5 + x = -6.5(-6 + 3x)
17.5 + x = (-6 * -6.5 + 3x * -6.5)
17.5 + x = (39 + -19.5x)

Solving
17.5 + x = 39 + -19.5x

Solving for variable 'x'.

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

Add '19.5x' to each side of the equation.
17.5 + x + 19.5x = 39 + -19.5x + 19.5x

Combine like terms: x + 19.5x = 20.5x
17.5 + 20.5x = 39 + -19.5x + 19.5x

Combine like terms: -19.5x + 19.5x = 0.0
17.5 + 20.5x = 39 + 0.0
17.5 + 20.5x = 39

Add '-17.5' to each side of the equation.
17.5 + -17.5 + 20.5x = 39 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 20.5x = 39 + -17.5
20.5x = 39 + -17.5

Combine like terms: 39 + -17.5 = 21.5
20.5x = 21.5

Divide each side by '20.5'.
x = 1.048780488

Simplifying
x = 1.048780488

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