-3.8+4.6+1.6x+7=x+3.9

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Solution for -3.8+4.6+1.6x+7=x+3.9 equation: 


Simplifying
-3.8 + 4.6 + 1.6x + 7 = x + 3.9

Reorder the terms:
-3.8 + 4.6 + 7 + 1.6x = x + 3.9

Combine like terms: -3.8 + 4.6 = 0.8
0.8 + 7 + 1.6x = x + 3.9

Combine like terms: 0.8 + 7 = 7.8
7.8 + 1.6x = x + 3.9

Reorder the terms:
7.8 + 1.6x = 3.9 + x

Solving
7.8 + 1.6x = 3.9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7.8 + 1.6x + -1x = 3.9 + x + -1x

Combine like terms: 1.6x + -1x = 0.6x
7.8 + 0.6x = 3.9 + x + -1x

Combine like terms: x + -1x = 0
7.8 + 0.6x = 3.9 + 0
7.8 + 0.6x = 3.9

Add '-7.8' to each side of the equation.
7.8 + -7.8 + 0.6x = 3.9 + -7.8

Combine like terms: 7.8 + -7.8 = 0.0
0.0 + 0.6x = 3.9 + -7.8
0.6x = 3.9 + -7.8

Combine like terms: 3.9 + -7.8 = -3.9
0.6x = -3.9

Divide each side by '0.6'.
x = -6.5

Simplifying
x = -6.5

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