What is the solution to the equation One-fourth x minus one-eighth = StartFraction 7 Over 8 EndFraction + one-half x?
x = negative 5
x = negative 4
x = 4
x = 5
To find the solution to the equation, we can start by simplifying it:
One-fourth x - one-eighth = 7/8 + one-half x
To combine the fractions on the right side of the equation, we need a common denominator. The common denominator of 8 and 2 is 8, so we can rewrite the right side as:
7/8 + one-half x = 7/8 + 4/8 x
Now we can rewrite the equation as:
One-fourth x - one-eighth = 7/8 + 4/8 x
To get rid of fractions, we can multiply every term by 8:
8 * (One-fourth x) - 8 * (one-eighth) = 8 * (7/8) + 8 * (4/8 x)
2x - 1 = 7 + 4x
Now we can simplify the equation by combining like terms on both sides of the equation:
2x - 4x = 7 + 1
-2x = 8
Now we can solve for x by dividing both sides of the equation by -2:
x = 8/(-2)
Simplifying the right side gives us:
x = -4
Therefore, the solution to the equation is x = -4.