34(6-2.5x)=11(2x-6)+13.2

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Solution for 34(6-2.5x)=11(2x-6)+13.2 equation: 


Simplifying
34(6 + -2.5x) = 11(2x + -6) + 13.2
(6 * 34 + -2.5x * 34) = 11(2x + -6) + 13.2
(204 + -85x) = 11(2x + -6) + 13.2

Reorder the terms:
204 + -85x = 11(-6 + 2x) + 13.2
204 + -85x = (-6 * 11 + 2x * 11) + 13.2
204 + -85x = (-66 + 22x) + 13.2

Reorder the terms:
204 + -85x = -66 + 13.2 + 22x

Combine like terms: -66 + 13.2 = -52.8
204 + -85x = -52.8 + 22x

Solving
204 + -85x = -52.8 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
204 + -85x + -22x = -52.8 + 22x + -22x

Combine like terms: -85x + -22x = -107x
204 + -107x = -52.8 + 22x + -22x

Combine like terms: 22x + -22x = 0
204 + -107x = -52.8 + 0
204 + -107x = -52.8

Add '-204' to each side of the equation.
204 + -204 + -107x = -52.8 + -204

Combine like terms: 204 + -204 = 0
0 + -107x = -52.8 + -204
-107x = -52.8 + -204

Combine like terms: -52.8 + -204 = -256.8
-107x = -256.8

Divide each side by '-107'.
x = 2.4

Simplifying
x = 2.4

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