To solve the equation, first, we need to convert the mixed numbers into improper fractions.
For 6 3/46 x 4 = 24 + 3 = 2So, 6 3/4 can be written as 27/4.
For 4 5/74 x 7 = 28 + 5 = 3So, 4 5/7 can be written as 33/7.
Now, the equation becomes2(x - 1) = 27/4 + 33/7
Next, simplify each side of the equation2x - 2 = 27/4 + 33/7
To add the fractions on the right side, we need to find a common denominator, which is 28:
2x - 2 = 189/28 + 132/22x - 2 = 321/28
Now, we can simplify the right side of the equation further2x - 2 = 321/28
To solve for x, first, we can add 2 to both sides of the equation2x = 321/28 + 2
Next, write 2 as a fraction with a denominator of 282x = 321/28 + 56/22x = 377/28
Finally, divide both sides by 2 to solve for xx = 377/28 ÷ x = 377/56
Therefore, the solution to the equation is x = 377/56.
To solve the equation, first, we need to convert the mixed numbers into improper fractions.
For 6 3/4
6 x 4 = 24 + 3 = 2
So, 6 3/4 can be written as 27/4.
For 4 5/7
4 x 7 = 28 + 5 = 3
So, 4 5/7 can be written as 33/7.
Now, the equation becomes
2(x - 1) = 27/4 + 33/7
Next, simplify each side of the equation
2x - 2 = 27/4 + 33/7
To add the fractions on the right side, we need to find a common denominator, which is 28:
2x - 2 = 189/28 + 132/2
2x - 2 = 321/28
Now, we can simplify the right side of the equation further
2x - 2 = 321/28
To solve for x, first, we can add 2 to both sides of the equation
2x = 321/28 + 2
Next, write 2 as a fraction with a denominator of 28
2x = 321/28 + 56/2
2x = 377/28
Finally, divide both sides by 2 to solve for x
x = 377/28 ÷
x = 377/56
Therefore, the solution to the equation is x = 377/56.