29.5-5.5x=7.5(3x+5)

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Solution for 29.5-5.5x=7.5(3x+5) equation: 


Simplifying
29.5 + -5.5x = 7.5(3x + 5)

Reorder the terms:
29.5 + -5.5x = 7.5(5 + 3x)
29.5 + -5.5x = (5 * 7.5 + 3x * 7.5)
29.5 + -5.5x = (37.5 + 22.5x)

Solving
29.5 + -5.5x = 37.5 + 22.5x

Solving for variable 'x'.

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

Add '-22.5x' to each side of the equation.
29.5 + -5.5x + -22.5x = 37.5 + 22.5x + -22.5x

Combine like terms: -5.5x + -22.5x = -28x
29.5 + -28x = 37.5 + 22.5x + -22.5x

Combine like terms: 22.5x + -22.5x = 0.0
29.5 + -28x = 37.5 + 0.0
29.5 + -28x = 37.5

Add '-29.5' to each side of the equation.
29.5 + -29.5 + -28x = 37.5 + -29.5

Combine like terms: 29.5 + -29.5 = 0.0
0.0 + -28x = 37.5 + -29.5
-28x = 37.5 + -29.5

Combine like terms: 37.5 + -29.5 = 8
-28x = 8

Divide each side by '-28'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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