3(x+2x+3+y+3y+2)=3x+4y+x+y

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


Simplifying
3(x + 2x + 3 + y + 3y + 2) = 3x + 4y + x + y

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

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

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

Combine like terms: y + 3y = 4y
3(5 + 3x + 4y) = 3x + 4y + x + y
(5 * 3 + 3x * 3 + 4y * 3) = 3x + 4y + x + y
(15 + 9x + 12y) = 3x + 4y + x + y

Reorder the terms:
15 + 9x + 12y = 3x + x + 4y + y

Combine like terms: 3x + x = 4x
15 + 9x + 12y = 4x + 4y + y

Combine like terms: 4y + y = 5y
15 + 9x + 12y = 4x + 5y

Solving
15 + 9x + 12y = 4x + 5y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 9x + -4x + 12y = 4x + -4x + 5y

Combine like terms: 9x + -4x = 5x
15 + 5x + 12y = 4x + -4x + 5y

Combine like terms: 4x + -4x = 0
15 + 5x + 12y = 0 + 5y
15 + 5x + 12y = 5y

Add '-15' to each side of the equation.
15 + 5x + -15 + 12y = -15 + 5y

Reorder the terms:
15 + -15 + 5x + 12y = -15 + 5y

Combine like terms: 15 + -15 = 0
0 + 5x + 12y = -15 + 5y
5x + 12y = -15 + 5y

Add '-12y' to each side of the equation.
5x + 12y + -12y = -15 + 5y + -12y

Combine like terms: 12y + -12y = 0
5x + 0 = -15 + 5y + -12y
5x = -15 + 5y + -12y

Combine like terms: 5y + -12y = -7y
5x = -15 + -7y

Divide each side by '5'.
x = -3 + -1.4y

Simplifying
x = -3 + -1.4y

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