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

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

Simplifying
0.3(x + -2) + x = 0.5(3 + -1X)

Reorder the terms:
0.3(-2 + x) + x = 0.5(3 + -1X)
(-2 * 0.3 + x * 0.3) + x = 0.5(3 + -1X)
(-0.6 + 0.3x) + x = 0.5(3 + -1X)

Combine like terms: 0.3x + x = 1.3x
-0.6 + 1.3x = 0.5(3 + -1X)
-0.6 + 1.3x = (3 * 0.5 + -1X * 0.5)
-0.6 + 1.3x = (1.5 + -0.5X)

Solving
-0.6 + 1.3x = 1.5 + -0.5X

Solving for variable 'x'.

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

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 1.3x = 1.5 + 0.6 + -0.5X

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 1.3x = 1.5 + 0.6 + -0.5X
1.3x = 1.5 + 0.6 + -0.5X

Combine like terms: 1.5 + 0.6 = 2.1
1.3x = 2.1 + -0.5X

Divide each side by '1.3'.
x = 1.615384615 + -0.3846153846X

Simplifying
x = 1.615384615 + -0.3846153846X