Solving the Equation 4(x-3)-(x-5)=0
In this article, we will solve the equation 4(x-3)-(x-5)=0 step by step.
Step 1: Simplify the Equation
First, let's simplify the equation by combining like terms:
4(x-3) = 4x - 12 -(x-5) = -x + 5
So, the equation becomes:
4x - 12 - x + 5 = 0
Step 2: Combine Like Terms
Now, let's combine like terms:
3x - 7 = 0
Step 3: Add 7 to Both Sides
To isolate the variable x, let's add 7 to both sides of the equation:
3x - 7 + 7 = 0 + 7
This simplifies to:
3x = 7
Step 4: Divide Both Sides by 3
Finally, let's divide both sides of the equation by 3 to solve for x:
x = 7/3
Solution
Therefore, the solution to the equation 4(x-3)-(x-5)=0 is x = 7/3.
We hope this step-by-step guide has helped you understand how to solve the equation 4(x-3)-(x-5)=0.
