.2(3x-4)=-2x+2

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Solution for .2(3x-4)=-2x+2 equation: 


Simplifying
0.2(3x + -4) = -2x + 2

Reorder the terms:
0.2(-4 + 3x) = -2x + 2
(-4 * 0.2 + 3x * 0.2) = -2x + 2
(-0.8 + 0.6x) = -2x + 2

Reorder the terms:
-0.8 + 0.6x = 2 + -2x

Solving
-0.8 + 0.6x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-0.8 + 0.6x + 2x = 2 + -2x + 2x

Combine like terms: 0.6x + 2x = 2.6x
-0.8 + 2.6x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-0.8 + 2.6x = 2 + 0
-0.8 + 2.6x = 2

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 2.6x = 2 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 2.6x = 2 + 0.8
2.6x = 2 + 0.8

Combine like terms: 2 + 0.8 = 2.8
2.6x = 2.8

Divide each side by '2.6'.
x = 1.076923077

Simplifying
x = 1.076923077

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