0.4(x-2)=3.4-0.2x

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Solution for 0.4(x-2)=3.4-0.2x equation: 


Simplifying
0.4(x + -2) = 3.4 + -0.2x

Reorder the terms:
0.4(-2 + x) = 3.4 + -0.2x
(-2 * 0.4 + x * 0.4) = 3.4 + -0.2x
(-0.8 + 0.4x) = 3.4 + -0.2x

Solving
-0.8 + 0.4x = 3.4 + -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.
-0.8 + 0.4x + 0.2x = 3.4 + -0.2x + 0.2x

Combine like terms: 0.4x + 0.2x = 0.6x
-0.8 + 0.6x = 3.4 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-0.8 + 0.6x = 3.4 + 0.0
-0.8 + 0.6x = 3.4

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.6x = 3.4 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.6x = 3.4 + 0.8
0.6x = 3.4 + 0.8

Combine like terms: 3.4 + 0.8 = 4.2
0.6x = 4.2

Divide each side by '0.6'.
x = 7

Simplifying
x = 7

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