Final answer:
To solve the equation 5x+6=22x-3, simplify by combining like terms, isolate the variable, and solve for x. The solution is x=9/17 or approximately 0.529.
Step-by-step explanation:
Solving an Equation with Variables on Both Sides
To solve the equation 5x+6=22x-3, we want to isolate the variable, x, on one side of the equation. First, we can simplify both sides by combining like terms. Subtracting 5x from both sides gives us 6=17x-3. Next, we can further simplify by adding 3 to both sides, resulting in 9=17x. Finally, we can solve for x by dividing both sides by 17. Therefore, x=9/17 or approximately 0.529.
Learn more about solving equations with variables on both sides