5.5(x-15)=-.9(x+6.1)

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Solution for 5.5(x-15)=-.9(x+6.1) equation: 


Simplifying
5.5(x + -15) = -0.9(x + 6.1)

Reorder the terms:
5.5(-15 + x) = -0.9(x + 6.1)
(-15 * 5.5 + x * 5.5) = -0.9(x + 6.1)
(-82.5 + 5.5x) = -0.9(x + 6.1)

Reorder the terms:
-82.5 + 5.5x = -0.9(6.1 + x)
-82.5 + 5.5x = (6.1 * -0.9 + x * -0.9)
-82.5 + 5.5x = (-5.49 + -0.9x)

Solving
-82.5 + 5.5x = -5.49 + -0.9x

Solving for variable 'x'.

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

Add '0.9x' to each side of the equation.
-82.5 + 5.5x + 0.9x = -5.49 + -0.9x + 0.9x

Combine like terms: 5.5x + 0.9x = 6.4x
-82.5 + 6.4x = -5.49 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-82.5 + 6.4x = -5.49 + 0.0
-82.5 + 6.4x = -5.49

Add '82.5' to each side of the equation.
-82.5 + 82.5 + 6.4x = -5.49 + 82.5

Combine like terms: -82.5 + 82.5 = 0.0
0.0 + 6.4x = -5.49 + 82.5
6.4x = -5.49 + 82.5

Combine like terms: -5.49 + 82.5 = 77.01
6.4x = 77.01

Divide each side by '6.4'.
x = 12.0328125

Simplifying
x = 12.0328125

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