5.5(5-7x)=8-(4x+6)

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Solution for 5.5(5-7x)=8-(4x+6) equation: 


Simplifying
5.5(5 + -7x) = 8 + -1(4x + 6)
(5 * 5.5 + -7x * 5.5) = 8 + -1(4x + 6)
(27.5 + -38.5x) = 8 + -1(4x + 6)

Reorder the terms:
27.5 + -38.5x = 8 + -1(6 + 4x)
27.5 + -38.5x = 8 + (6 * -1 + 4x * -1)
27.5 + -38.5x = 8 + (-6 + -4x)

Combine like terms: 8 + -6 = 2
27.5 + -38.5x = 2 + -4x

Solving
27.5 + -38.5x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
27.5 + -38.5x + 4x = 2 + -4x + 4x

Combine like terms: -38.5x + 4x = -34.5x
27.5 + -34.5x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
27.5 + -34.5x = 2 + 0
27.5 + -34.5x = 2

Add '-27.5' to each side of the equation.
27.5 + -27.5 + -34.5x = 2 + -27.5

Combine like terms: 27.5 + -27.5 = 0.0
0.0 + -34.5x = 2 + -27.5
-34.5x = 2 + -27.5

Combine like terms: 2 + -27.5 = -25.5
-34.5x = -25.5

Divide each side by '-34.5'.
x = 0.7391304348

Simplifying
x = 0.7391304348

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