0.75(X+2)=0.166666(5-X)

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Solution for 0.75(X+2)=0.166666(5-X) equation: 


Simplifying
0.75(X + 2) = 0.166666(5 + -1X)

Reorder the terms:
0.75(2 + X) = 0.166666(5 + -1X)
(2 * 0.75 + X * 0.75) = 0.166666(5 + -1X)
(1.5 + 0.75X) = 0.166666(5 + -1X)
1.5 + 0.75X = (5 * 0.166666 + -1X * 0.166666)
1.5 + 0.75X = (0.83333 + -0.166666X)

Solving
1.5 + 0.75X = 0.83333 + -0.166666X

Solving for variable 'X'.

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

Add '0.166666X' to each side of the equation.
1.5 + 0.75X + 0.166666X = 0.83333 + -0.166666X + 0.166666X

Combine like terms: 0.75X + 0.166666X = 0.916666X
1.5 + 0.916666X = 0.83333 + -0.166666X + 0.166666X

Combine like terms: -0.166666X + 0.166666X = 0.000000
1.5 + 0.916666X = 0.83333 + 0.000000
1.5 + 0.916666X = 0.83333

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.916666X = 0.83333 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.916666X = 0.83333 + -1.5
0.916666X = 0.83333 + -1.5

Combine like terms: 0.83333 + -1.5 = -0.66667
0.916666X = -0.66667

Divide each side by '0.916666'.
X = -0.7272768926

Simplifying
X = -0.7272768926

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