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

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


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

Reorder the terms:
((3 + X) * 0.5) + -1((6 + -1X) * 0.2) = 1

Reorder the terms for easier multiplication:
(0.5(3 + X)) + -1((6 + -1X) * 0.2) = 1
((3 * 0.5 + X * 0.5)) + -1((6 + -1X) * 0.2) = 1
((1.5 + 0.5X)) + -1((6 + -1X) * 0.2) = 1
(1.5 + 0.5X) + -1((6 + -1X) * 0.2) = 1

Remove parenthesis around (1.5 + 0.5X)
1.5 + 0.5X + -1((6 + -1X) * 0.2) = 1

Reorder the terms for easier multiplication:
1.5 + 0.5X + -1(0.2(6 + -1X)) = 1
1.5 + 0.5X + -1((6 * 0.2 + -1X * 0.2)) = 1
1.5 + 0.5X + -1((1.2 + -0.2X)) = 1
1.5 + 0.5X + (1.2 * -1 + -0.2X * -1) = 1
1.5 + 0.5X + (-1.2 + 0.2X) = 1

Reorder the terms:
1.5 + -1.2 + 0.5X + 0.2X = 1

Combine like terms: 1.5 + -1.2 = 0.3
0.3 + 0.5X + 0.2X = 1

Combine like terms: 0.5X + 0.2X = 0.7X
0.3 + 0.7X = 1

Solving
0.3 + 0.7X = 1

Solving for variable 'X'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.7X = 1 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.7X = 1 + -0.3
0.7X = 1 + -0.3

Combine like terms: 1 + -0.3 = 0.7
0.7X = 0.7

Divide each side by '0.7'.
X = 1

Simplifying
X = 1

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