3(2x-11)+5y=10

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Solution for 3(2x-11)+5y=10 equation: 


Simplifying
3(2x + -11) + 5y = 10

Reorder the terms:
3(-11 + 2x) + 5y = 10
(-11 * 3 + 2x * 3) + 5y = 10
(-33 + 6x) + 5y = 10

Solving
-33 + 6x + 5y = 10

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 6x + 33 + 5y = 10 + 33

Reorder the terms:
-33 + 33 + 6x + 5y = 10 + 33

Combine like terms: -33 + 33 = 0
0 + 6x + 5y = 10 + 33
6x + 5y = 10 + 33

Combine like terms: 10 + 33 = 43
6x + 5y = 43

Add '-5y' to each side of the equation.
6x + 5y + -5y = 43 + -5y

Combine like terms: 5y + -5y = 0
6x + 0 = 43 + -5y
6x = 43 + -5y

Divide each side by '6'.
x = 7.166666667 + -0.8333333333y

Simplifying
x = 7.166666667 + -0.8333333333y

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