x/6-5=1/2x+1/3x-4
AHH!
help.
i need step-by-step.
all i know is that the answer is x=1.5
Thanks!
(x/6) - 5 = (1/2)x + (1/3)x -4
Combine "x" terms on one side and constants on the right.
(3/6 + 2/6 - 1/6)x = -1
(2/3)x = -1
x = -3/2 = -1.5
expand/explain?
how did you get -1?
the answer is positive, not negative.
hmm..
No problem! I'll guide you step-by-step through solving the given equation:
1. Start by simplifying both sides of the equation. Combine like terms separately on each side.
On the left side, we have x/6 minus 5.
On the right side, we have 1/2x plus 1/3x minus 4.
2. To combine the fractions on the right side, we need to find a common denominator. The least common denominator for 2 and 3 is 6. So, we rewrite 1/2x as 3/6x and 1/3x as 2/6x.
3. Now, let's rewrite the equation with the combined fractions:
x/6 - 5 = 3/6x + 2/6x - 4.
4. To eliminate the denominators, we can multiply the entire equation by 6. This will result in:
6 * (x/6 - 5) = 6 * (3/6x + 2/6x - 4).
5. Simplify both sides of the equation after multiplying:
x - 30 = 3x + 2x - 24.
6. Combine like terms on both sides of the equation:
x - 30 = 5x - 24.
7. Now, isolate the x term. Move the "5x" term to the left side and the constant terms to the right side of the equation:
x - 5x = -24 + 30.
8. Simplify further:
-4x = 6.
9. Divide both sides of the equation by -4 to solve for x:
x = 6 / -4.
10. Simplify the division:
x = -3/2 or x = -1.5.
So, the solution to the given equation is x = -1.5 and not x = 1.5 as you mentioned. Double-check your work, and feel free to ask if you have any further questions!