solve for x
11/4x+9=31
To solve for x, we'll follow these steps:
1. Start with the equation: 11/4x + 9 = 31
2. Subtract 9 from both sides: 11/4x = 31 - 9
3. Simplify the right side: 11/4x = 22
4. Multiply both sides by 4/11 to isolate x: (4/11)(11/4x) = (4/11)(22)
5. Simplify: x = 8
To solve for x in the equation (11/4)x + 9 = 31, you need to isolate x on one side of the equation.
Step 1: Start by subtracting 9 from both sides of the equation:
(11/4)x + 9 - 9 = 31 - 9
(11/4)x = 22
Step 2: To get rid of the fraction (11/4), multiply both sides of the equation by its reciprocal (4/11):
((11/4)x)*(4/11) = 22 * (4/11)
x = 88/11
x = 8
Therefore, the solution for x in the given equation is x = 8.
To solve for x in the equation (11/4)x + 9 = 31, we can follow these steps:
Step 1: Begin by subtracting 9 from both sides of the equation:
(11/4)x + 9 - 9 = 31 - 9
(11/4)x = 22
Step 2: To isolate x, we need to get rid of the fraction. Multiply both sides of the equation by 4 to cancel out the denominator of 4 on the left side:
4 * (11/4)x = 4 * 22
(11/1)x = 88
Step 3: Simplify both sides of the equation:
11x = 88
Step 4: Divide both sides of the equation by 11 to solve for x:
(11x)/11 = 88/11
x = 8
Therefore, the value of x is 8.