5.5(5.5+x+1)=3.5(3.5+x+9)

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Solution for 5.5(5.5+x+1)=3.5(3.5+x+9) equation: 


Simplifying
5.5(5.5 + x + 1) = 3.5(3.5 + x + 9)

Reorder the terms:
5.5(5.5 + 1 + x) = 3.5(3.5 + x + 9)

Combine like terms: 5.5 + 1 = 6.5
5.5(6.5 + x) = 3.5(3.5 + x + 9)
(6.5 * 5.5 + x * 5.5) = 3.5(3.5 + x + 9)
(35.75 + 5.5x) = 3.5(3.5 + x + 9)

Reorder the terms:
35.75 + 5.5x = 3.5(3.5 + 9 + x)

Combine like terms: 3.5 + 9 = 12.5
35.75 + 5.5x = 3.5(12.5 + x)
35.75 + 5.5x = (12.5 * 3.5 + x * 3.5)
35.75 + 5.5x = (43.75 + 3.5x)

Solving
35.75 + 5.5x = 43.75 + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
35.75 + 5.5x + -3.5x = 43.75 + 3.5x + -3.5x

Combine like terms: 5.5x + -3.5x = 2x
35.75 + 2x = 43.75 + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
35.75 + 2x = 43.75 + 0.0
35.75 + 2x = 43.75

Add '-35.75' to each side of the equation.
35.75 + -35.75 + 2x = 43.75 + -35.75

Combine like terms: 35.75 + -35.75 = 0.00
0.00 + 2x = 43.75 + -35.75
2x = 43.75 + -35.75

Combine like terms: 43.75 + -35.75 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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