%2F2%3D12.jpeg "(5x+9)/2=12")
Solving the Equation: (5x+9)/2 = 12
This article will guide you through the steps to solve the equation (5x+9)/2 = 12. Let's break down the solution process:
Step 1: Multiply both sides by 2
To isolate the term containing 'x', we need to get rid of the denominator (2). Multiplying both sides of the equation by 2 will achieve this:
2 * [(5x+9)/2] = 12 * 2
This simplifies to:
5x + 9 = 24
Step 2: Subtract 9 from both sides
Now, we need to isolate the 'x' term. Subtracting 9 from both sides will achieve this:
5x + 9 - 9 = 24 - 9
This simplifies to:
5x = 15
Step 3: Divide both sides by 5
Finally, to solve for 'x', we need to isolate it by dividing both sides of the equation by 5:
5x / 5 = 15 / 5
This gives us:
x = 3
Solution
Therefore, the solution to the equation (5x+9)/2 = 12 is x = 3.