Solving the Equation: 16 + 7x - 5 + x = 11x - 3 - x
Let's dive into solving this equation step by step.
The Given Equation:
16 + 7x - 5 + x = 11x - 3 - x
Step 1: Combine Like Terms
First, let's combine the like terms on both sides of the equation.
Left Side:
16 + 7x - 5 + x = 16 + 8x - 5 (combine x terms)
Right Side:
11x - 3 - x = 11x - x - 3 (rearrange terms)
Now, our equation looks like this:
16 + 8x - 5 = 10x - 3
Step 2: Add 5 to Both Sides
Let's add 5 to both sides to get rid of the negative term:
16 + 8x - 5 + 5 = 10x - 3 + 5
This simplifies to:
16 + 8x = 10x + 2
Step 3: Subtract 10x from Both Sides
Now, let's subtract 10x from both sides to isolate the x term:
16 + 8x - 10x = 10x - 10x + 2
This simplifies to:
16 - 2x = 2
Step 4: Subtract 16 from Both Sides
Next, let's subtract 16 from both sides to isolate the x term:
-2x = 2 - 16
This simplifies to:
-2x = -14
Step 5: Divide Both Sides by -2
Finally, let's divide both sides by -2 to solve for x:
x = -14 / -2
x = 7
Therefore, the value of x is 7.
I hope this step-by-step solution helps you understand how to solve the equation!
