13x-14y=3(x-y+3)

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Solution for 13x-14y=3(x-y+3) equation:


Simplifying
13x + -14y = 3(x + -1y + 3)

Reorder the terms:
13x + -14y = 3(3 + x + -1y)
13x + -14y = (3 * 3 + x * 3 + -1y * 3)
13x + -14y = (9 + 3x + -3y)

Solving
13x + -14y = 9 + 3x + -3y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13x + -3x + -14y = 9 + 3x + -3x + -3y

Combine like terms: 13x + -3x = 10x
10x + -14y = 9 + 3x + -3x + -3y

Combine like terms: 3x + -3x = 0
10x + -14y = 9 + 0 + -3y
10x + -14y = 9 + -3y

Add '14y' to each side of the equation.
10x + -14y + 14y = 9 + -3y + 14y

Combine like terms: -14y + 14y = 0
10x + 0 = 9 + -3y + 14y
10x = 9 + -3y + 14y

Combine like terms: -3y + 14y = 11y
10x = 9 + 11y

Divide each side by '10'.
x = 0.9 + 1.1y

Simplifying
x = 0.9 + 1.1y

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