5.5x-3.8(x-1)=7.5

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Solution for 5.5x-3.8(x-1)=7.5 equation: 


Simplifying
5.5x + -3.8(x + -1) = 7.5

Reorder the terms:
5.5x + -3.8(-1 + x) = 7.5
5.5x + (-1 * -3.8 + x * -3.8) = 7.5
5.5x + (3.8 + -3.8x) = 7.5

Reorder the terms:
3.8 + 5.5x + -3.8x = 7.5

Combine like terms: 5.5x + -3.8x = 1.7x
3.8 + 1.7x = 7.5

Solving
3.8 + 1.7x = 7.5

Solving for variable 'x'.

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

Add '-3.8' to each side of the equation.
3.8 + -3.8 + 1.7x = 7.5 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + 1.7x = 7.5 + -3.8
1.7x = 7.5 + -3.8

Combine like terms: 7.5 + -3.8 = 3.7
1.7x = 3.7

Divide each side by '1.7'.
x = 2.176470588

Simplifying
x = 2.176470588

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