3x - 6 = 3x/4
With my working out I got x = 24/15
The answers say that x = 8/3
I've tried it several times and got the same answer.
IDK whether im right or wrong, please help!! thanks
3x - 6 = 3x/4
Multiply both sides by 4.
12x - 24 = 3x
9x = 24
x = 24/9 = 2 2/3 = 8/3
3x - 6 = 3x/4
multiply both sides by 4
12x - 24 = 3x
9x = 24
x = 24/9
x = 8/3
To solve the equation 3x - 6 = 3x/4, we need to isolate x on one side of the equation. Let's go through the process step by step:
1. Start with the given equation: 3x - 6 = 3x/4.
2. We want to get rid of the fraction, so we can multiply each term by 4. This gives us: 4(3x - 6) = 4(3x/4).
Expanding the left side gives us: 12x - 24 = 3x.
3. Now, let's try to isolate x. Subtract 3x from both sides of the equation: 12x - 3x - 24 = 3x - 3x.
Simplifying the left side gives us: 9x - 24 = 0.
4. Next, add 24 to both sides to cancel out the -24 on the left side of the equation: 9x - 24 + 24 = 0 + 24.
This simplifies to: 9x = 24.
5. Finally, divide both sides by 9 to solve for x: (9x)/9 = 24/9.
Simplifying gives us: x = 8/3.
Based on the steps provided, the correct solution is indeed x = 8/3. It seems there might have been an error when evaluating the equation. Please recheck your calculations.