3x+13=5y-12

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Solution for 3x+13=5y-12 equation:


Simplifying
3x + 13 = 5y + -12

Reorder the terms:
13 + 3x = 5y + -12

Reorder the terms:
13 + 3x = -12 + 5y

Solving
13 + 3x = -12 + 5y

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 3x = -12 + -13 + 5y

Combine like terms: 13 + -13 = 0
0 + 3x = -12 + -13 + 5y
3x = -12 + -13 + 5y

Combine like terms: -12 + -13 = -25
3x = -25 + 5y

Divide each side by '3'.
x = -8.333333333 + 1.666666667y

Simplifying
x = -8.333333333 + 1.666666667y

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