need help
5/4x1/8x=5/8+x
you need to use parentheses
5/4x1 divided by 8x = 5/8 + x ?
what is "4x1"?
sorry typed it wrong
5/4 x + 1/8 = 5/8 + x
5/4 x + 1/8 = 5/8 + x
5/4 x = 4/8 + x
multiply both sides by 8, (LCD of 4 and 8)
then solve for x
Sure, I can help you with that. To solve the equation 5/4 * 1/8x = 5/8 + x, we can follow these steps:
Step 1: Simplify the left side of the equation
Multiply the fractions on the left side:
5/4 * 1/8x = 5/32x
Step 2: Combine like terms on the right side
The right side of the equation has the terms 5/8 and x. To combine them, we need to find a common denominator, which is 8 in this case. So, we can rewrite the equation as:
5/32x = (5 + 8x)/8
Step 3: Clear the fractions
To get rid of the fraction on the left side, we can multiply both sides of the equation by 32:
32 * (5/32x) = 32 * ((5 + 8x)/8)
The 32 in the numerator and denominator on the left side cancel out, giving us:
5 = 4(5 + 8x)/8
Step 4: Distribute and simplify on the right side
Distribute the 4 to the terms inside the parentheses on the right side:
5 = (20 + 32x)/8
Step 5: Multiply both sides of the equation by 8 to eliminate the fractions
8 * 5 = 8 * (20 + 32x)/8
40 = (20 + 32x)
Step 6: Simplify and isolate the variable
Subtract 20 from both sides:
40 - 20 = (20 + 32x) - 20
20 = 32x
Step 7: Solve for x
Divide both sides by 32:
20/32 = x
Simplify the fraction:
5/8 = x
Therefore, the solution to the equation is x = 5/8.