3(x+0.2)=2(x-0.3)-0.5

Solution for 3(x+0.2)=2(x-0.3)-0.5 equation:

Simplifying
3(x + 0.2) = 2(x + -0.3) + -0.5

Reorder the terms:
3(0.2 + x) = 2(x + -0.3) + -0.5
(0.2 * 3 + x * 3) = 2(x + -0.3) + -0.5
(0.6 + 3x) = 2(x + -0.3) + -0.5

Reorder the terms:
0.6 + 3x = 2(-0.3 + x) + -0.5
0.6 + 3x = (-0.3 * 2 + x * 2) + -0.5
0.6 + 3x = (-0.6 + 2x) + -0.5

Reorder the terms:
0.6 + 3x = -0.6 + -0.5 + 2x

Combine like terms: -0.6 + -0.5 = -1.1
0.6 + 3x = -1.1 + 2x

Solving
0.6 + 3x = -1.1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0.6 + 3x + -2x = -1.1 + 2x + -2x

Combine like terms: 3x + -2x = 1x
0.6 + 1x = -1.1 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.6 + 1x = -1.1 + 0
0.6 + 1x = -1.1

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 1x = -1.1 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 1x = -1.1 + -0.6
1x = -1.1 + -0.6

Combine like terms: -1.1 + -0.6 = -1.7
1x = -1.7

Divide each side by '1'.
x = -1.7

Simplifying
x = -1.7