6x+6y-300=1x+3y-70

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Solution for 6x+6y-300=1x+3y-70 equation:


Simplifying
6x + 6y + -300 = 1x + 3y + -70

Reorder the terms:
-300 + 6x + 6y = 1x + 3y + -70

Reorder the terms:
-300 + 6x + 6y = -70 + 1x + 3y

Solving
-300 + 6x + 6y = -70 + 1x + 3y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-300 + 6x + -1x + 6y = -70 + 1x + -1x + 3y

Combine like terms: 6x + -1x = 5x
-300 + 5x + 6y = -70 + 1x + -1x + 3y

Combine like terms: 1x + -1x = 0
-300 + 5x + 6y = -70 + 0 + 3y
-300 + 5x + 6y = -70 + 3y

Add '300' to each side of the equation.
-300 + 5x + 300 + 6y = -70 + 300 + 3y

Reorder the terms:
-300 + 300 + 5x + 6y = -70 + 300 + 3y

Combine like terms: -300 + 300 = 0
0 + 5x + 6y = -70 + 300 + 3y
5x + 6y = -70 + 300 + 3y

Combine like terms: -70 + 300 = 230
5x + 6y = 230 + 3y

Add '-6y' to each side of the equation.
5x + 6y + -6y = 230 + 3y + -6y

Combine like terms: 6y + -6y = 0
5x + 0 = 230 + 3y + -6y
5x = 230 + 3y + -6y

Combine like terms: 3y + -6y = -3y
5x = 230 + -3y

Divide each side by '5'.
x = 46 + -0.6y

Simplifying
x = 46 + -0.6y

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