-0.3(x-1)+x=0.5(6-x)

Solution for -0.3(x-1)+x=0.5(6-x) equation:

Simplifying
-0.3(x + -1) + x = 0.5(6 + -1x)

Reorder the terms:
-0.3(-1 + x) + x = 0.5(6 + -1x)
(-1 * -0.3 + x * -0.3) + x = 0.5(6 + -1x)
(0.3 + -0.3x) + x = 0.5(6 + -1x)

Combine like terms: -0.3x + x = 0.7x
0.3 + 0.7x = 0.5(6 + -1x)
0.3 + 0.7x = (6 * 0.5 + -1x * 0.5)
0.3 + 0.7x = (3 + -0.5x)

Solving
0.3 + 0.7x = 3 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
0.3 + 0.7x + 0.5x = 3 + -0.5x + 0.5x

Combine like terms: 0.7x + 0.5x = 1.2x
0.3 + 1.2x = 3 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
0.3 + 1.2x = 3 + 0.0
0.3 + 1.2x = 3

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 1.2x = 3 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 1.2x = 3 + -0.3
1.2x = 3 + -0.3

Combine like terms: 3 + -0.3 = 2.7
1.2x = 2.7

Divide each side by '1.2'.
x = 2.25

Simplifying
x = 2.25