5.5=38.5x+4(-10x+2)

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Solution for 5.5=38.5x+4(-10x+2) equation: 


Simplifying
5.5 = 38.5x + 4(-10x + 2)

Reorder the terms:
5.5 = 38.5x + 4(2 + -10x)
5.5 = 38.5x + (2 * 4 + -10x * 4)
5.5 = 38.5x + (8 + -40x)

Reorder the terms:
5.5 = 8 + 38.5x + -40x

Combine like terms: 38.5x + -40x = -1.5x
5.5 = 8 + -1.5x

Solving
5.5 = 8 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
5.5 + 1.5x = 8 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
5.5 + 1.5x = 8 + 0.0
5.5 + 1.5x = 8

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 1.5x = 8 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 1.5x = 8 + -5.5
1.5x = 8 + -5.5

Combine like terms: 8 + -5.5 = 2.5
1.5x = 2.5

Divide each side by '1.5'.
x = 1.666666667

Simplifying
x = 1.666666667

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