1+.666(X-7)=.5X-2

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Solution for 1+.666(X-7)=.5X-2 equation:


Simplifying
1 + 0.666(X + -7) = 0.5X + -2

Reorder the terms:
1 + 0.666(-7 + X) = 0.5X + -2
1 + (-7 * 0.666 + X * 0.666) = 0.5X + -2
1 + (-4.662 + 0.666X) = 0.5X + -2

Combine like terms: 1 + -4.662 = -3.662
-3.662 + 0.666X = 0.5X + -2

Reorder the terms:
-3.662 + 0.666X = -2 + 0.5X

Solving
-3.662 + 0.666X = -2 + 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.
-3.662 + 0.666X + -0.5X = -2 + 0.5X + -0.5X

Combine like terms: 0.666X + -0.5X = 0.166X
-3.662 + 0.166X = -2 + 0.5X + -0.5X

Combine like terms: 0.5X + -0.5X = 0.0
-3.662 + 0.166X = -2 + 0.0
-3.662 + 0.166X = -2

Add '3.662' to each side of the equation.
-3.662 + 3.662 + 0.166X = -2 + 3.662

Combine like terms: -3.662 + 3.662 = 0.000
0.000 + 0.166X = -2 + 3.662
0.166X = -2 + 3.662

Combine like terms: -2 + 3.662 = 1.662
0.166X = 1.662

Divide each side by '0.166'.
X = 10.01204819

Simplifying
X = 10.01204819

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