26.5=-5.5+9.5(x+7.5)

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Solution for 26.5=-5.5+9.5(x+7.5) equation: 


Simplifying
26.5 = -5.5 + 9.5(x + 7.5)

Reorder the terms:
26.5 = -5.5 + 9.5(7.5 + x)
26.5 = -5.5 + (7.5 * 9.5 + x * 9.5)
26.5 = -5.5 + (71.25 + 9.5x)

Combine like terms: -5.5 + 71.25 = 65.75
26.5 = 65.75 + 9.5x

Solving
26.5 = 65.75 + 9.5x

Solving for variable 'x'.

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

Add '-9.5x' to each side of the equation.
26.5 + -9.5x = 65.75 + 9.5x + -9.5x

Combine like terms: 9.5x + -9.5x = 0.0
26.5 + -9.5x = 65.75 + 0.0
26.5 + -9.5x = 65.75

Add '-26.5' to each side of the equation.
26.5 + -26.5 + -9.5x = 65.75 + -26.5

Combine like terms: 26.5 + -26.5 = 0.0
0.0 + -9.5x = 65.75 + -26.5
-9.5x = 65.75 + -26.5

Combine like terms: 65.75 + -26.5 = 39.25
-9.5x = 39.25

Divide each side by '-9.5'.
x = -4.131578947

Simplifying
x = -4.131578947

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