5.5(x-1.5)=-.9(x+6.1)

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Solution for 5.5(x-1.5)=-.9(x+6.1) equation: 


Simplifying
5.5(x + -1.5) = -0.9(x + 6.1)

Reorder the terms:
5.5(-1.5 + x) = -0.9(x + 6.1)
(-1.5 * 5.5 + x * 5.5) = -0.9(x + 6.1)
(-8.25 + 5.5x) = -0.9(x + 6.1)

Reorder the terms:
-8.25 + 5.5x = -0.9(6.1 + x)
-8.25 + 5.5x = (6.1 * -0.9 + x * -0.9)
-8.25 + 5.5x = (-5.49 + -0.9x)

Solving
-8.25 + 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.
-8.25 + 5.5x + 0.9x = -5.49 + -0.9x + 0.9x

Combine like terms: 5.5x + 0.9x = 6.4x
-8.25 + 6.4x = -5.49 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-8.25 + 6.4x = -5.49 + 0.0
-8.25 + 6.4x = -5.49

Add '8.25' to each side of the equation.
-8.25 + 8.25 + 6.4x = -5.49 + 8.25

Combine like terms: -8.25 + 8.25 = 0.00
0.00 + 6.4x = -5.49 + 8.25
6.4x = -5.49 + 8.25

Combine like terms: -5.49 + 8.25 = 2.76
6.4x = 2.76

Divide each side by '6.4'.
x = 0.43125

Simplifying
x = 0.43125

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