(3x+5y)*4=(4x+3y)*5

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Solution for (3x+5y)*4=(4x+3y)*5 equation:


Simplifying
(3x + 5y) * 4 = (4x + 3y) * 5

Reorder the terms for easier multiplication:
4(3x + 5y) = (4x + 3y) * 5
(3x * 4 + 5y * 4) = (4x + 3y) * 5
(12x + 20y) = (4x + 3y) * 5

Reorder the terms for easier multiplication:
12x + 20y = 5(4x + 3y)
12x + 20y = (4x * 5 + 3y * 5)
12x + 20y = (20x + 15y)

Solving
12x + 20y = 20x + 15y

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
12x + -20x + 20y = 20x + -20x + 15y

Combine like terms: 12x + -20x = -8x
-8x + 20y = 20x + -20x + 15y

Combine like terms: 20x + -20x = 0
-8x + 20y = 0 + 15y
-8x + 20y = 15y

Add '-20y' to each side of the equation.
-8x + 20y + -20y = 15y + -20y

Combine like terms: 20y + -20y = 0
-8x + 0 = 15y + -20y
-8x = 15y + -20y

Combine like terms: 15y + -20y = -5y
-8x = -5y

Divide each side by '-8'.
x = 0.625y

Simplifying
x = 0.625y

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