0.2(x-3)=-3.6x+1.3

Solution for 0.2(x-3)=-3.6x+1.3 equation:

Simplifying
0.2(x + -3) = -3.6x + 1.3

Reorder the terms:
0.2(-3 + x) = -3.6x + 1.3
(-3 * 0.2 + x * 0.2) = -3.6x + 1.3
(-0.6 + 0.2x) = -3.6x + 1.3

Reorder the terms:
-0.6 + 0.2x = 1.3 + -3.6x

Solving
-0.6 + 0.2x = 1.3 + -3.6x

Solving for variable 'x'.

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

Add '3.6x' to each side of the equation.
-0.6 + 0.2x + 3.6x = 1.3 + -3.6x + 3.6x

Combine like terms: 0.2x + 3.6x = 3.8x
-0.6 + 3.8x = 1.3 + -3.6x + 3.6x

Combine like terms: -3.6x + 3.6x = 0.0
-0.6 + 3.8x = 1.3 + 0.0
-0.6 + 3.8x = 1.3

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 3.8x = 1.3 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 3.8x = 1.3 + 0.6
3.8x = 1.3 + 0.6

Combine like terms: 1.3 + 0.6 = 1.9
3.8x = 1.9

Divide each side by '3.8'.
x = 0.5

Simplifying
x = 0.5