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

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


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

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

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

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

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

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

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

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

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

Solving
1 + x + (3y) = -3 + 3x + 5y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + x + -3x + (3y) = -3 + 3x + -3x + 5y

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

Combine like terms: 3x + -3x = 0
1 + -2x + (3y) = -3 + 0 + 5y
1 + -2x + (3y) = -3 + 5y

Add '-1' to each side of the equation.
1 + -2x + -1 + (3y) = -3 + -1 + 5y

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

Combine like terms: 1 + -1 = 0
0 + -2x + (3y) = -3 + -1 + 5y
-2x + (3y) = -3 + -1 + 5y

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

Add '(-3y)' to each side of the equation.
-2x + (3y) + (-3y) = -4 + 5y + (-3y)

Combine like terms: (3y) + (-3y) = 0
-2x + 0 = -4 + 5y + (-3y)
-2x = -4 + 5y + (-3y)

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

Divide each side by '-2'.
x = 2 + -1y

Simplifying
x = 2 + -1y

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