(X+3*.5)-(6-X*.2)=1

Solution for (X+3*.5)-(6-X*.2)=1 equation:

Simplifying
(X + 3 * 0.5) + -1(6 + -1X * 0.2) = 1

Multiply 3 * 0.5
(X + 1.5) + -1(6 + -1X * 0.2) = 1

Reorder the terms:
(1.5 + X) + -1(6 + -1X * 0.2) = 1

Remove parenthesis around (1.5 + X)
1.5 + X + -1(6 + -1X * 0.2) = 1

Reorder the terms for easier multiplication:
1.5 + X + -1(6 + -1 * 0.2X) = 1

Multiply -1 * 0.2
1.5 + X + -1(6 + -0.2X) = 1
1.5 + X + (6 * -1 + -0.2X * -1) = 1
1.5 + X + (-6 + 0.2X) = 1

Reorder the terms:
1.5 + -6 + X + 0.2X = 1

Combine like terms: 1.5 + -6 = -4.5
-4.5 + X + 0.2X = 1

Combine like terms: X + 0.2X = 1.2X
-4.5 + 1.2X = 1

Solving
-4.5 + 1.2X = 1

Solving for variable 'X'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1.2X = 1 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1.2X = 1 + 4.5
1.2X = 1 + 4.5

Combine like terms: 1 + 4.5 = 5.5
1.2X = 5.5

Divide each side by '1.2'.
X = 4.583333333

Simplifying
X = 4.583333333