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

Solution for 0.2(x+3)-4(2x-4)=3.4 equation:

Simplifying
0.2(x + 3) + -4(2x + -4) = 3.4

Reorder the terms:
0.2(3 + x) + -4(2x + -4) = 3.4
(3 * 0.2 + x * 0.2) + -4(2x + -4) = 3.4
(0.6 + 0.2x) + -4(2x + -4) = 3.4

Reorder the terms:
0.6 + 0.2x + -4(-4 + 2x) = 3.4
0.6 + 0.2x + (-4 * -4 + 2x * -4) = 3.4
0.6 + 0.2x + (16 + -8x) = 3.4

Reorder the terms:
0.6 + 16 + 0.2x + -8x = 3.4

Combine like terms: 0.6 + 16 = 16.6
16.6 + 0.2x + -8x = 3.4

Combine like terms: 0.2x + -8x = -7.8x
16.6 + -7.8x = 3.4

Solving
16.6 + -7.8x = 3.4

Solving for variable 'x'.

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

Add '-16.6' to each side of the equation.
16.6 + -16.6 + -7.8x = 3.4 + -16.6

Combine like terms: 16.6 + -16.6 = 0.0
0.0 + -7.8x = 3.4 + -16.6
-7.8x = 3.4 + -16.6

Combine like terms: 3.4 + -16.6 = -13.2
-7.8x = -13.2

Divide each side by '-7.8'.
x = 1.692307692

Simplifying
x = 1.692307692