.2(x+3)-.4(2x-3)=3.4

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Solution for .2(x+3)-.4(2x-3)=3.4 equation: 


Simplifying
0.2(x + 3) + -0.4(2x + -3) = 3.4

Reorder the terms:
0.2(3 + x) + -0.4(2x + -3) = 3.4
(3 * 0.2 + x * 0.2) + -0.4(2x + -3) = 3.4
(0.6 + 0.2x) + -0.4(2x + -3) = 3.4

Reorder the terms:
0.6 + 0.2x + -0.4(-3 + 2x) = 3.4
0.6 + 0.2x + (-3 * -0.4 + 2x * -0.4) = 3.4
0.6 + 0.2x + (1.2 + -0.8x) = 3.4

Reorder the terms:
0.6 + 1.2 + 0.2x + -0.8x = 3.4

Combine like terms: 0.6 + 1.2 = 1.8
1.8 + 0.2x + -0.8x = 3.4

Combine like terms: 0.2x + -0.8x = -0.6x
1.8 + -0.6x = 3.4

Solving
1.8 + -0.6x = 3.4

Solving for variable 'x'.

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

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.6x = 3.4 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.6x = 3.4 + -1.8
-0.6x = 3.4 + -1.8

Combine like terms: 3.4 + -1.8 = 1.6
-0.6x = 1.6

Divide each side by '-0.6'.
x = -2.666666667

Simplifying
x = -2.666666667

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