(3x+8y)+(6x-14y)+90=180

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Solution for (3x+8y)+(6x-14y)+90=180 equation:


Simplifying
(3x + 8y) + (6x + -14y) + 90 = 180

Remove parenthesis around (3x + 8y)
3x + 8y + (6x + -14y) + 90 = 180

Remove parenthesis around (6x + -14y)
3x + 8y + 6x + -14y + 90 = 180

Reorder the terms:
90 + 3x + 6x + 8y + -14y = 180

Combine like terms: 3x + 6x = 9x
90 + 9x + 8y + -14y = 180

Combine like terms: 8y + -14y = -6y
90 + 9x + -6y = 180

Solving
90 + 9x + -6y = 180

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + 9x + -90 + -6y = 180 + -90

Reorder the terms:
90 + -90 + 9x + -6y = 180 + -90

Combine like terms: 90 + -90 = 0
0 + 9x + -6y = 180 + -90
9x + -6y = 180 + -90

Combine like terms: 180 + -90 = 90
9x + -6y = 90

Add '6y' to each side of the equation.
9x + -6y + 6y = 90 + 6y

Combine like terms: -6y + 6y = 0
9x + 0 = 90 + 6y
9x = 90 + 6y

Divide each side by '9'.
x = 10 + 0.6666666667y

Simplifying
x = 10 + 0.6666666667y

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