5(2x-3y)-4(7y-3x)=0

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Solution for 5(2x-3y)-4(7y-3x)=0 equation: 


Simplifying
5(2x + -3y) + -4(7y + -3x) = 0
(2x * 5 + -3y * 5) + -4(7y + -3x) = 0
(10x + -15y) + -4(7y + -3x) = 0

Reorder the terms:
10x + -15y + -4(-3x + 7y) = 0
10x + -15y + (-3x * -4 + 7y * -4) = 0
10x + -15y + (12x + -28y) = 0

Reorder the terms:
10x + 12x + -15y + -28y = 0

Combine like terms: 10x + 12x = 22x
22x + -15y + -28y = 0

Combine like terms: -15y + -28y = -43y
22x + -43y = 0

Solving
22x + -43y = 0

Solving for variable 'x'.

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

Add '43y' to each side of the equation.
22x + -43y + 43y = 0 + 43y

Combine like terms: -43y + 43y = 0
22x + 0 = 0 + 43y
22x = 0 + 43y
Remove the zero:
22x = 43y

Divide each side by '22'.
x = 1.954545455y

Simplifying
x = 1.954545455y

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