to solve the equation 5/8 (x-1/2)=10

Answer 1

To solve the equation 5/8 (x-1/2) = 10, follow the steps below:

1. Distribute the 5/8 to the terms inside the parentheses:
5/8 * x - 5/8 * 1/2 = 10

2. Simplify the expression:
5/8 * x - 5/16 = 10

3. Combine like terms by finding a common denominator for the fractions:
(5/8)x - (5/16) = 10
Since 8 and 16 have a common multiple of 16:
(5/8)x - (5/16) * 2/2 = 10
(5/8)x - 10/16 = 10

4. Simplify the expression further:
(5/8)x - 10/16 = 10
(5/8)x - 5/8 = 10
(5/8)x = 10 + 5/8
(5/8)x = 80/8 + 5/8
(5/8)x = 85/8

5. To isolate x, divide both sides of the equation by 5/8:
(5/8)x ÷ (5/8) = (85/8) ÷ (5/8)
x = (85/8) ÷ (5/8)

6. Simplify the expression further by multiplying the numerator by the reciprocal of the denominator:
x = (85/8) * (8/5)

7. Simplify the expression even further to get the final answer:
x = (85 * 8) / (8 * 5)
x = 680/40
x = 17/1 = 17

Therefore, the solution to the equation 5/8 (x-1/2) = 10 is x = 17.

Answer 2

what number should be divided on both sides

Answer 3

To solve the equation 5/8 (x-1/2) = 10, you need to divide both sides of the equation by the coefficient of x, which is 5/8.

Dividing both sides of the equation by 5/8 results in:

(x-1/2) = (10) / (5/8)

To simplify, you must multiply the numerator by the reciprocal of the denominator:

(x-1/2) = (10) * (8/5)

This simplifies to:

(x-1/2) = 16/5

Now, you can solve for x by adding 1/2 to both sides:

x = (16/5) + (1/2)

To add fractions, you must first find a common denominator:

x = (16/5) + (5/5)(1/2)
x = (16/5) + (5/10)
x = (16/5) + (1/2)

To add fractions with different denominators, you must find a common denominator. In this case, you can use 10 as the common denominator:

x = (16/5)(2/2) + (1/2)(5/5)
x = (32/10) + (5/10)
x = (32 + 5) / 10
x = 37/10

Therefore, the solution to the equation 5/8 (x-1/2) = 10 is x = 37/10.