Question

5-х. 4х-3 ---- + ------- = 4 2. 3

Answer 1

$\frac{5-x}{2} + \frac{4x-3}{3} =4 \\ \\ 15-3x+8x-6=24 \\ \\ 5x=15 \\ \\ x=3$

Answer 2

5-x/2+4x-3/3=4
3(5-x)+2(4x-3)=24
15-3x+8x-6=24
9+5x=24
5x=24-9
5x=15
x=3

Answer 3

To solve the equation, let's find a common denominator for the fractions and then combine them:

The equation is: (5x)/(3) + (4x-3)/(2) = 4

Step 1: Find a common denominator for the fractions, which is 6. Step 2: Convert both fractions to have a denominator of 6. Step 3: Combine the fractions and solve for x.

Step 1: Common denominator is 6. Step 2: Convert the fractions:

For the first fraction (5x/3): Multiply the numerator and denominator by 2 to get the denominator 6: (5x/3) * (2/2) = (10x/6)

For the second fraction ((4x-3)/2): Multiply the numerator and denominator by 3 to get the denominator 6: ((4x-3)/2) * (3/3) = (12x - 9)/6

Step 3: Combine the fractions:

(10x/6) + (12x - 9)/6 = 4

Now, the fractions have the same denominator, so we can add them:

(10x + 12x - 9)/6 = 4

Combine the x terms in the numerator:

(22x - 9)/6 = 4

Now, to isolate x, we can multiply both sides by 6:

6 * ((22x - 9)/6) = 6 * 4

22x - 9 = 24

Next, add 9 to both sides to isolate the x term:

22x = 24 + 9 22x = 33

Finally, divide both sides by 22 to solve for x:

x = 33/22

Simplifying the fraction (if possible):

x = 3/2

So, the solution to the equation is x = 3/2 or x = 1.5.