0.6x+7.38=-0.2x+9.78

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Solution for 0.6x+7.38=-0.2x+9.78 equation: 


Simplifying
0.6x + 7.38 = -0.2x + 9.78

Reorder the terms:
7.38 + 0.6x = -0.2x + 9.78

Reorder the terms:
7.38 + 0.6x = 9.78 + -0.2x

Solving
7.38 + 0.6x = 9.78 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
7.38 + 0.6x + 0.2x = 9.78 + -0.2x + 0.2x

Combine like terms: 0.6x + 0.2x = 0.8x
7.38 + 0.8x = 9.78 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
7.38 + 0.8x = 9.78 + 0.0
7.38 + 0.8x = 9.78

Add '-7.38' to each side of the equation.
7.38 + -7.38 + 0.8x = 9.78 + -7.38

Combine like terms: 7.38 + -7.38 = 0.00
0.00 + 0.8x = 9.78 + -7.38
0.8x = 9.78 + -7.38

Combine like terms: 9.78 + -7.38 = 2.4
0.8x = 2.4

Divide each side by '0.8'.
x = 3

Simplifying
x = 3

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