3x-9+y+33=7y+30-5x

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Solution for 3x-9+y+33=7y+30-5x equation:


Simplifying
3x + -9 + y + 33 = 7y + 30 + -5x

Reorder the terms:
-9 + 33 + 3x + y = 7y + 30 + -5x

Combine like terms: -9 + 33 = 24
24 + 3x + y = 7y + 30 + -5x

Reorder the terms:
24 + 3x + y = 30 + -5x + 7y

Solving
24 + 3x + y = 30 + -5x + 7y

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
24 + 3x + 5x + y = 30 + -5x + 5x + 7y

Combine like terms: 3x + 5x = 8x
24 + 8x + y = 30 + -5x + 5x + 7y

Combine like terms: -5x + 5x = 0
24 + 8x + y = 30 + 0 + 7y
24 + 8x + y = 30 + 7y

Add '-24' to each side of the equation.
24 + 8x + -24 + y = 30 + -24 + 7y

Reorder the terms:
24 + -24 + 8x + y = 30 + -24 + 7y

Combine like terms: 24 + -24 = 0
0 + 8x + y = 30 + -24 + 7y
8x + y = 30 + -24 + 7y

Combine like terms: 30 + -24 = 6
8x + y = 6 + 7y

Add '-1y' to each side of the equation.
8x + y + -1y = 6 + 7y + -1y

Combine like terms: y + -1y = 0
8x + 0 = 6 + 7y + -1y
8x = 6 + 7y + -1y

Combine like terms: 7y + -1y = 6y
8x = 6 + 6y

Divide each side by '8'.
x = 0.75 + 0.75y

Simplifying
x = 0.75 + 0.75y

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