(13x+9)+2(3y-25)=(4y+2)+(15x-1)

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Solution for (13x+9)+2(3y-25)=(4y+2)+(15x-1) equation:


Simplifying
(13x + 9) + 2(3y + -25) = (4y + 2) + (15x + -1)

Reorder the terms:
(9 + 13x) + 2(3y + -25) = (4y + 2) + (15x + -1)

Remove parenthesis around (9 + 13x)
9 + 13x + 2(3y + -25) = (4y + 2) + (15x + -1)

Reorder the terms:
9 + 13x + 2(-25 + 3y) = (4y + 2) + (15x + -1)
9 + 13x + (-25 * 2 + 3y * 2) = (4y + 2) + (15x + -1)
9 + 13x + (-50 + 6y) = (4y + 2) + (15x + -1)

Reorder the terms:
9 + -50 + 13x + 6y = (4y + 2) + (15x + -1)

Combine like terms: 9 + -50 = -41
-41 + 13x + 6y = (4y + 2) + (15x + -1)

Reorder the terms:
-41 + 13x + 6y = (2 + 4y) + (15x + -1)

Remove parenthesis around (2 + 4y)
-41 + 13x + 6y = 2 + 4y + (15x + -1)

Reorder the terms:
-41 + 13x + 6y = 2 + 4y + (-1 + 15x)

Remove parenthesis around (-1 + 15x)
-41 + 13x + 6y = 2 + 4y + -1 + 15x

Reorder the terms:
-41 + 13x + 6y = 2 + -1 + 15x + 4y

Combine like terms: 2 + -1 = 1
-41 + 13x + 6y = 1 + 15x + 4y

Solving
-41 + 13x + 6y = 1 + 15x + 4y

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-41 + 13x + -15x + 6y = 1 + 15x + -15x + 4y

Combine like terms: 13x + -15x = -2x
-41 + -2x + 6y = 1 + 15x + -15x + 4y

Combine like terms: 15x + -15x = 0
-41 + -2x + 6y = 1 + 0 + 4y
-41 + -2x + 6y = 1 + 4y

Add '41' to each side of the equation.
-41 + -2x + 41 + 6y = 1 + 41 + 4y

Reorder the terms:
-41 + 41 + -2x + 6y = 1 + 41 + 4y

Combine like terms: -41 + 41 = 0
0 + -2x + 6y = 1 + 41 + 4y
-2x + 6y = 1 + 41 + 4y

Combine like terms: 1 + 41 = 42
-2x + 6y = 42 + 4y

Add '-6y' to each side of the equation.
-2x + 6y + -6y = 42 + 4y + -6y

Combine like terms: 6y + -6y = 0
-2x + 0 = 42 + 4y + -6y
-2x = 42 + 4y + -6y

Combine like terms: 4y + -6y = -2y
-2x = 42 + -2y

Divide each side by '-2'.
x = -21 + y

Simplifying
x = -21 + y

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