34(45-6.5x)=14(6x-6)+28.0

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Solution for 34(45-6.5x)=14(6x-6)+28.0 equation:


Simplifying
34(45 + -6.5x) = 14(6x + -6) + 28.0
(45 * 34 + -6.5x * 34) = 14(6x + -6) + 28.0
(1530 + -221x) = 14(6x + -6) + 28.0

Reorder the terms:
1530 + -221x = 14(-6 + 6x) + 28.0
1530 + -221x = (-6 * 14 + 6x * 14) + 28.0
1530 + -221x = (-84 + 84x) + 28.0

Reorder the terms:
1530 + -221x = -84 + 28.0 + 84x

Combine like terms: -84 + 28.0 = -56
1530 + -221x = -56 + 84x

Solving
1530 + -221x = -56 + 84x

Solving for variable 'x'.

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

Add '-84x' to each side of the equation.
1530 + -221x + -84x = -56 + 84x + -84x

Combine like terms: -221x + -84x = -305x
1530 + -305x = -56 + 84x + -84x

Combine like terms: 84x + -84x = 0
1530 + -305x = -56 + 0
1530 + -305x = -56

Add '-1530' to each side of the equation.
1530 + -1530 + -305x = -56 + -1530

Combine like terms: 1530 + -1530 = 0
0 + -305x = -56 + -1530
-305x = -56 + -1530

Combine like terms: -56 + -1530 = -1586
-305x = -1586

Divide each side by '-305'.
x = 5.2

Simplifying
x = 5.2

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