Solving the Equation: 5x + 7/2 = 3/2x - 14
In this article, we will solve the equation 5x + 7/2 = 3/2x - 14. Let's dive into the solution!
Step 1: Simplify the Equation
To start, we can simplify the equation by multiplying both sides by 2 to eliminate the fractions:
10x + 7 = 3x - 28
Step 2: Combine Like Terms
Next, we can combine like terms on both sides of the equation:
10x - 3x + 7 = -28
This simplifies to:
7x + 7 = -28
Step 3: Isolate x
Now, we can isolate x by subtracting 7 from both sides of the equation:
7x = -35
Step 4: Solve for x
Finally, we can divide both sides of the equation by 7 to solve for x:
x = -35/7
x = -5
Therefore, the solution to the equation 5x + 7/2 = 3/2x - 14 is x = -5.
