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

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

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

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

Reorder the terms:
0.6 + 0.2x + -4(-3 + 2x) = -3
0.6 + 0.2x + (-3 * -4 + 2x * -4) = -3
0.6 + 0.2x + (12 + -8x) = -3

Reorder the terms:
0.6 + 12 + 0.2x + -8x = -3

Combine like terms: 0.6 + 12 = 12.6
12.6 + 0.2x + -8x = -3

Combine like terms: 0.2x + -8x = -7.8x
12.6 + -7.8x = -3

Solving
12.6 + -7.8x = -3

Solving for variable 'x'.

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

Add '-12.6' to each side of the equation.
12.6 + -12.6 + -7.8x = -3 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + -7.8x = -3 + -12.6
-7.8x = -3 + -12.6

Combine like terms: -3 + -12.6 = -15.6
-7.8x = -15.6

Divide each side by '-7.8'.
x = 2

Simplifying
x = 2