5.5(x+3.5)-7.5=4(x+5)-6

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Solution for 5.5(x+3.5)-7.5=4(x+5)-6 equation: 


Simplifying
5.5(x + 3.5) + -7.5 = 4(x + 5) + -6

Reorder the terms:
5.5(3.5 + x) + -7.5 = 4(x + 5) + -6
(3.5 * 5.5 + x * 5.5) + -7.5 = 4(x + 5) + -6
(19.25 + 5.5x) + -7.5 = 4(x + 5) + -6

Reorder the terms:
19.25 + -7.5 + 5.5x = 4(x + 5) + -6

Combine like terms: 19.25 + -7.5 = 11.75
11.75 + 5.5x = 4(x + 5) + -6

Reorder the terms:
11.75 + 5.5x = 4(5 + x) + -6
11.75 + 5.5x = (5 * 4 + x * 4) + -6
11.75 + 5.5x = (20 + 4x) + -6

Reorder the terms:
11.75 + 5.5x = 20 + -6 + 4x

Combine like terms: 20 + -6 = 14
11.75 + 5.5x = 14 + 4x

Solving
11.75 + 5.5x = 14 + 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.
11.75 + 5.5x + -4x = 14 + 4x + -4x

Combine like terms: 5.5x + -4x = 1.5x
11.75 + 1.5x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
11.75 + 1.5x = 14 + 0
11.75 + 1.5x = 14

Add '-11.75' to each side of the equation.
11.75 + -11.75 + 1.5x = 14 + -11.75

Combine like terms: 11.75 + -11.75 = 0.00
0.00 + 1.5x = 14 + -11.75
1.5x = 14 + -11.75

Combine like terms: 14 + -11.75 = 2.25
1.5x = 2.25

Divide each side by '1.5'.
x = 1.5

Simplifying
x = 1.5

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