When 3 is subtracted from 2x and the difference is divided by 5. The result is 7. What is the value of x?
Let's set up the equation:
(2x - 3) ÷ 5 = 7
To solve for x, we need to isolate it on one side of the equation.
Multiply both sides of the equation by 5:
5 * (2x - 3) ÷ 5 = 7 * 5
2x - 3 = 35
Add 3 to both sides of the equation:
2x - 3 + 3 = 35 + 3
2x = 38
Divide both sides of the equation by 2:
2x / 2 = 38 / 2
x = 19
Therefore, the value of x is 19.
To find the value of x, we can set up an equation based on the given information.
First, we subtract 3 from 2x: (2x - 3).
Next, we divide the difference by 5, which gives us: (2x - 3) / 5.
The result of this division is 7, so we can write the equation as follows:
(2x - 3) / 5 = 7.
To solve for x, we can multiply both sides of the equation by 5 to get rid of the fraction:
5 * ((2x - 3) / 5) = 7 * 5,
2x - 3 = 35.
To isolate the variable x, we can add 3 to both sides of the equation:
2x - 3 + 3 = 35 + 3,
2x = 38.
Finally, we divide both sides of the equation by 2 to solve for x:
2x / 2 = 38 / 2,
x = 19.
Therefore, the value of x is 19.