.3(x+2)=3+2(x-1)

Solution for .3(x+2)=3+2(x-1) equation:

Simplifying
0.3(x + 2) = 3 + 2(x + -1)

Reorder the terms:
0.3(2 + x) = 3 + 2(x + -1)
(2 * 0.3 + x * 0.3) = 3 + 2(x + -1)
(0.6 + 0.3x) = 3 + 2(x + -1)

Reorder the terms:
0.6 + 0.3x = 3 + 2(-1 + x)
0.6 + 0.3x = 3 + (-1 * 2 + x * 2)
0.6 + 0.3x = 3 + (-2 + 2x)

Combine like terms: 3 + -2 = 1
0.6 + 0.3x = 1 + 2x

Solving
0.6 + 0.3x = 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 + 0.3x + -2x = 1 + 2x + -2x

Combine like terms: 0.3x + -2x = -1.7x
0.6 + -1.7x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.6 + -1.7x = 1 + 0
0.6 + -1.7x = 1

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -1.7x = 1 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.7x = 1 + -0.6
-1.7x = 1 + -0.6

Combine like terms: 1 + -0.6 = 0.4
-1.7x = 0.4

Divide each side by '-1.7'.
x = -0.2352941176

Simplifying
x = -0.2352941176