Final answer:
The value of x in the equation 4x+3(x-3)=5x is found to be 4.5 by combining like terms, simplifying the equation, and then solving for x.
Step-by-step explanation:
To find the value of x in the equation 4x+3(x−3)=5x, you need to follow these steps:
- First, distribute the 3 into the parenthesis: 4x + 3*x - 3*3 = 5x.
- Next, combine like terms: 4x + 3x - 9 = 5x.
- Combine the x terms on one side: 4x + 3x - 5x = 9.
- Simplify the equation: 2x = 9.
- Divide both sides by 2 to solve for x: x = 9/2 or x = 4.5.
Thus, x equals 4.5.