66.6x-7(x-.50)=28.50-x

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Solution for 66.6x-7(x-.50)=28.50-x equation:


Simplifying
66.6x + -7(x + -0.50) = 28.50 + -1x

Reorder the terms:
66.6x + -7(-0.50 + x) = 28.50 + -1x
66.6x + (-0.50 * -7 + x * -7) = 28.50 + -1x
66.6x + (3.5 + -7x) = 28.50 + -1x

Reorder the terms:
3.5 + 66.6x + -7x = 28.50 + -1x

Combine like terms: 66.6x + -7x = 59.6x
3.5 + 59.6x = 28.50 + -1x

Solving
3.5 + 59.6x = 28.50 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3.5 + 59.6x + x = 28.50 + -1x + x

Combine like terms: 59.6x + x = 60.6x
3.5 + 60.6x = 28.50 + -1x + x

Combine like terms: -1x + x = 0
3.5 + 60.6x = 28.50 + 0
3.5 + 60.6x = 28.50

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 60.6x = 28.50 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 60.6x = 28.50 + -3.5
60.6x = 28.50 + -3.5

Combine like terms: 28.50 + -3.5 = 25
60.6x = 25

Divide each side by '60.6'.
x = 0.4125412541

Simplifying
x = 0.4125412541

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