3.8x-(1.6-1.2x)=9.6+(3.7-5x)

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Solution for 3.8x-(1.6-1.2x)=9.6+(3.7-5x) equation:


Simplifying
3.8x + -1(1.6 + -1.2x) = 9.6 + (3.7 + -5x)
3.8x + (1.6 * -1 + -1.2x * -1) = 9.6 + (3.7 + -5x)
3.8x + (-1.6 + 1.2x) = 9.6 + (3.7 + -5x)

Reorder the terms:
-1.6 + 3.8x + 1.2x = 9.6 + (3.7 + -5x)

Combine like terms: 3.8x + 1.2x = 5x
-1.6 + 5x = 9.6 + (3.7 + -5x)

Remove parenthesis around (3.7 + -5x)
-1.6 + 5x = 9.6 + 3.7 + -5x

Combine like terms: 9.6 + 3.7 = 13.3
-1.6 + 5x = 13.3 + -5x

Solving
-1.6 + 5x = 13.3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-1.6 + 5x + 5x = 13.3 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-1.6 + 10x = 13.3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-1.6 + 10x = 13.3 + 0
-1.6 + 10x = 13.3

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 10x = 13.3 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 10x = 13.3 + 1.6
10x = 13.3 + 1.6

Combine like terms: 13.3 + 1.6 = 14.9
10x = 14.9

Divide each side by '10'.
x = 1.49

Simplifying
x = 1.49

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