30(40-5.5x)=14(x-8)+66.5

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Solution for 30(40-5.5x)=14(x-8)+66.5 equation: 


Simplifying
30(40 + -5.5x) = 14(x + -8) + 66.5
(40 * 30 + -5.5x * 30) = 14(x + -8) + 66.5
(1200 + -165x) = 14(x + -8) + 66.5

Reorder the terms:
1200 + -165x = 14(-8 + x) + 66.5
1200 + -165x = (-8 * 14 + x * 14) + 66.5
1200 + -165x = (-112 + 14x) + 66.5

Reorder the terms:
1200 + -165x = -112 + 66.5 + 14x

Combine like terms: -112 + 66.5 = -45.5
1200 + -165x = -45.5 + 14x

Solving
1200 + -165x = -45.5 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
1200 + -165x + -14x = -45.5 + 14x + -14x

Combine like terms: -165x + -14x = -179x
1200 + -179x = -45.5 + 14x + -14x

Combine like terms: 14x + -14x = 0
1200 + -179x = -45.5 + 0
1200 + -179x = -45.5

Add '-1200' to each side of the equation.
1200 + -1200 + -179x = -45.5 + -1200

Combine like terms: 1200 + -1200 = 0
0 + -179x = -45.5 + -1200
-179x = -45.5 + -1200

Combine like terms: -45.5 + -1200 = -1245.5
-179x = -1245.5

Divide each side by '-179'.
x = 6.958100559

Simplifying
x = 6.958100559

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