3(15x-9y)+5(4y-x)=equation

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Solution for 3(15x-9y)+5(4y-x)=equation equation:


Simplifying
3(15x + -9y) + 5(4y + -1x) = equation
(15x * 3 + -9y * 3) + 5(4y + -1x) = equation
(45x + -27y) + 5(4y + -1x) = equation

Reorder the terms:
45x + -27y + 5(-1x + 4y) = equation
45x + -27y + (-1x * 5 + 4y * 5) = equation
45x + -27y + (-5x + 20y) = equation

Reorder the terms:
45x + -5x + -27y + 20y = equation

Combine like terms: 45x + -5x = 40x
40x + -27y + 20y = equation

Combine like terms: -27y + 20y = -7y
40x + -7y = equation

Solving
40x + -7y = aeinoqtu

Solving for variable 'x'.

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

Add '7y' to each side of the equation.
40x + -7y + 7y = aeinoqtu + 7y

Combine like terms: -7y + 7y = 0
40x + 0 = aeinoqtu + 7y
40x = aeinoqtu + 7y

Divide each side by '40'.
x = 0.025aeinoqtu + 0.175y

Simplifying
x = 0.025aeinoqtu + 0.175y

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