36(22-6.5x)=11(6x-9)+21

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Solution for 36(22-6.5x)=11(6x-9)+21 equation: 


Simplifying
36(22 + -6.5x) = 11(6x + -9) + 21
(22 * 36 + -6.5x * 36) = 11(6x + -9) + 21
(792 + -234x) = 11(6x + -9) + 21

Reorder the terms:
792 + -234x = 11(-9 + 6x) + 21
792 + -234x = (-9 * 11 + 6x * 11) + 21
792 + -234x = (-99 + 66x) + 21

Reorder the terms:
792 + -234x = -99 + 21 + 66x

Combine like terms: -99 + 21 = -78
792 + -234x = -78 + 66x

Solving
792 + -234x = -78 + 66x

Solving for variable 'x'.

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

Add '-66x' to each side of the equation.
792 + -234x + -66x = -78 + 66x + -66x

Combine like terms: -234x + -66x = -300x
792 + -300x = -78 + 66x + -66x

Combine like terms: 66x + -66x = 0
792 + -300x = -78 + 0
792 + -300x = -78

Add '-792' to each side of the equation.
792 + -792 + -300x = -78 + -792

Combine like terms: 792 + -792 = 0
0 + -300x = -78 + -792
-300x = -78 + -792

Combine like terms: -78 + -792 = -870
-300x = -870

Divide each side by '-300'.
x = 2.9

Simplifying
x = 2.9

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