What is 7/16+2x=9/8 if you solve for x?
2x=11/6
x=11/12
multiply each term by 16, the LCD, to get
7 + 32x = 18
now it is easy.
x = 11/32 not 11/12
To solve for x in the equation 7/16 + 2x = 9/8, we need to isolate the variable x on one side of the equation. Here's how you can do it:
Step 1: Clear the fractions (denominators) by multiplying every term in the equation by the least common denominator (LCD), which is 16 for this equation.
Doing this will eliminate the fractions and make the equation easier to work with.
16 * (7/16) + 16 * (2x) = 16 * (9/8)
Simplifying, you get:
7 + 32x = 18
Step 2: Rearrange the equation so that the term with x is on one side, and the constant term is on the other side.
32x + 7 = 18
Step 3: Move the constant term (7) to the other side of the equation by subtracting it from both sides.
32x = 18 - 7
32x = 11
Step 4: Solve for x by dividing both sides of the equation by the coefficient of x (32).
x = 11/32
So, the solution to the equation 7/16 + 2x = 9/8 is x = 11/32.