(3x)+(5x-4)=(5y+1)+(2y+4)

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Solution for (3x)+(5x-4)=(5y+1)+(2y+4) equation:


Simplifying
(3x) + (5x + -4) = (5y + 1) + (2y + 4)

Reorder the terms:
(3x) + (-4 + 5x) = (5y + 1) + (2y + 4)

Remove parenthesis around (-4 + 5x)
(3x) + -4 + 5x = (5y + 1) + (2y + 4)

Reorder the terms:
-4 + (3x) + 5x = (5y + 1) + (2y + 4)

Combine like terms: (3x) + 5x = 8x
-4 + 8x = (5y + 1) + (2y + 4)

Reorder the terms:
-4 + 8x = (1 + 5y) + (2y + 4)

Remove parenthesis around (1 + 5y)
-4 + 8x = 1 + 5y + (2y + 4)

Reorder the terms:
-4 + 8x = 1 + 5y + (4 + 2y)

Remove parenthesis around (4 + 2y)
-4 + 8x = 1 + 5y + 4 + 2y

Reorder the terms:
-4 + 8x = 1 + 4 + 5y + 2y

Combine like terms: 1 + 4 = 5
-4 + 8x = 5 + 5y + 2y

Combine like terms: 5y + 2y = 7y
-4 + 8x = 5 + 7y

Solving
-4 + 8x = 5 + 7y

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 8x = 5 + 4 + 7y

Combine like terms: -4 + 4 = 0
0 + 8x = 5 + 4 + 7y
8x = 5 + 4 + 7y

Combine like terms: 5 + 4 = 9
8x = 9 + 7y

Divide each side by '8'.
x = 1.125 + 0.875y

Simplifying
x = 1.125 + 0.875y

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