6y+-2y+5+15+3x=15x+20

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Solution for 6y+-2y+5+15+3x=15x+20 equation:


Simplifying
6y + -2y + 5 + 15 + 3x = 15x + 20

Reorder the terms:
5 + 15 + 3x + 6y + -2y = 15x + 20

Combine like terms: 5 + 15 = 20
20 + 3x + 6y + -2y = 15x + 20

Combine like terms: 6y + -2y = 4y
20 + 3x + 4y = 15x + 20

Reorder the terms:
20 + 3x + 4y = 20 + 15x

Add '-20' to each side of the equation.
20 + 3x + -20 + 4y = 20 + -20 + 15x

Reorder the terms:
20 + -20 + 3x + 4y = 20 + -20 + 15x

Combine like terms: 20 + -20 = 0
0 + 3x + 4y = 20 + -20 + 15x
3x + 4y = 20 + -20 + 15x

Combine like terms: 20 + -20 = 0
3x + 4y = 0 + 15x
3x + 4y = 15x

Solving
3x + 4y = 15x

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.
3x + -15x + 4y = 15x + -15x

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

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

Add '-4y' to each side of the equation.
-12x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
-12x + 0 = 0 + -4y
-12x = 0 + -4y
Remove the zero:
-12x = -4y

Divide each side by '-12'.
x = 0.3333333333y

Simplifying
x = 0.3333333333y

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