-0.3(x-2)+0.2x=0.3(3x+5)

Solution for -0.3(x-2)+0.2x=0.3(3x+5) equation:

Simplifying
-0.3(x + -2) + 0.2x = 0.3(3x + 5)

Reorder the terms:
-0.3(-2 + x) + 0.2x = 0.3(3x + 5)
(-2 * -0.3 + x * -0.3) + 0.2x = 0.3(3x + 5)
(0.6 + -0.3x) + 0.2x = 0.3(3x + 5)

Combine like terms: -0.3x + 0.2x = -0.1x
0.6 + -0.1x = 0.3(3x + 5)

Reorder the terms:
0.6 + -0.1x = 0.3(5 + 3x)
0.6 + -0.1x = (5 * 0.3 + 3x * 0.3)
0.6 + -0.1x = (1.5 + 0.9x)

Solving
0.6 + -0.1x = 1.5 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
0.6 + -0.1x + -0.9x = 1.5 + 0.9x + -0.9x

Combine like terms: -0.1x + -0.9x = -1x
0.6 + -1x = 1.5 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
0.6 + -1x = 1.5 + 0.0
0.6 + -1x = 1.5

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -1x = 1.5 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1x = 1.5 + -0.6
-1x = 1.5 + -0.6

Combine like terms: 1.5 + -0.6 = 0.9
-1x = 0.9

Divide each side by '-1'.
x = -0.9

Simplifying
x = -0.9