0.2(x-2)-0.3(x+1)=0.2

Solution for 0.2(x-2)-0.3(x+1)=0.2 equation:

Simplifying
0.2(x + -2) + -0.3(x + 1) = 0.2

Reorder the terms:
0.2(-2 + x) + -0.3(x + 1) = 0.2
(-2 * 0.2 + x * 0.2) + -0.3(x + 1) = 0.2
(-0.4 + 0.2x) + -0.3(x + 1) = 0.2

Reorder the terms:
-0.4 + 0.2x + -0.3(1 + x) = 0.2
-0.4 + 0.2x + (1 * -0.3 + x * -0.3) = 0.2
-0.4 + 0.2x + (-0.3 + -0.3x) = 0.2

Reorder the terms:
-0.4 + -0.3 + 0.2x + -0.3x = 0.2

Combine like terms: -0.4 + -0.3 = -0.7
-0.7 + 0.2x + -0.3x = 0.2

Combine like terms: 0.2x + -0.3x = -0.1x
-0.7 + -0.1x = 0.2

Solving
-0.7 + -0.1x = 0.2

Solving for variable 'x'.

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

Add '0.7' to each side of the equation.
-0.7 + 0.7 + -0.1x = 0.2 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + -0.1x = 0.2 + 0.7
-0.1x = 0.2 + 0.7

Combine like terms: 0.2 + 0.7 = 0.9
-0.1x = 0.9

Divide each side by '-0.1'.
x = -9

Simplifying
x = -9