x+0.2=0.4x+3.2

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Solution for x+0.2=0.4x+3.2 equation:


Simplifying
x + 0.2 = 0.4x + 3.2

Reorder the terms:
0.2 + x = 0.4x + 3.2

Reorder the terms:
0.2 + x = 3.2 + 0.4x

Solving
0.2 + x = 3.2 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
0.2 + x + -0.4x = 3.2 + 0.4x + -0.4x

Combine like terms: x + -0.4x = 0.6x
0.2 + 0.6x = 3.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.2 + 0.6x = 3.2 + 0.0
0.2 + 0.6x = 3.2

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.6x = 3.2 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.6x = 3.2 + -0.2
0.6x = 3.2 + -0.2

Combine like terms: 3.2 + -0.2 = 3
0.6x = 3

Divide each side by '0.6'.
x = 5

Simplifying
x = 5

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