Answer: x = 4 + -1y
Step-by-step explanation:
Simplifying
2x + 5y = 3y + 8
Reorder the terms:
2x + 5y = 8 + 3y
Solving
2x + 5y = 8 + 3y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5y' to each side of the equation.
2x + 5y + -5y = 8 + 3y + -5y
Combine like terms: 5y + -5y = 0
2x + 0 = 8 + 3y + -5y
2x = 8 + 3y + -5y
Combine like terms: 3y + -5y = -2y
2x = 8 + -2y
Divide each side by '2'.
x = 4 + -1y
Simplifying
x = 4 + -1y
