To solve for x, we can start by multiplying both sides of the equation by the reciprocal of 5/8, which is 8/5:
(8/5) * (5/8)(x + 1/2) = (8/5) * 100
Simplifying, we have:
(x + 1/2) = (8/5) * 100
Next, we can multiply both sides of the equation by 2 to eliminate the fraction on the left side:
2(x + 1/2) = 2 * (8/5) * 100
Simplifying further:
2x + 1 = 16/5 * 100
2x + 1 = 16 * 20
2x + 1 = 320
Now, we can subtract 1 from both sides of the equation to isolate 2x:
2x = 320 - 1
2x = 319
Finally, divide both sides of the equation by 2 to solve for x:
x = 319/2
Thus, x = 159.5.
Solve for x.
5/8(x+1/2)=100
3 answers
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Apologies for the error in the previous response. Let's solve the equation correctly:
To solve for x, we'll start by multiplying both sides of the equation by the reciprocal of 5/8, which is 8/5:
(8/5) * (5/8)(x + 1/2) = (8/5) * 100
Simplifying, we have:
(x + 1/2) = (8/5) * 100
Next, let's multiply both sides by 2 to eliminate the fraction on the left side:
2(x + 1/2) = 2 * (8/5) * 100
Simplifying further:
2x + 1 = 8/5 * 100
2x + 1 = 8 * 20
2x + 1 = 160
Now, let's subtract 1 from both sides to isolate 2x:
2x = 160 - 1
2x = 159
Finally, divide both sides by 2 to solve for x:
x = 159/2
x = 79.5
Therefore, the solution to the equation is x = 79.5.
To solve for x, we'll start by multiplying both sides of the equation by the reciprocal of 5/8, which is 8/5:
(8/5) * (5/8)(x + 1/2) = (8/5) * 100
Simplifying, we have:
(x + 1/2) = (8/5) * 100
Next, let's multiply both sides by 2 to eliminate the fraction on the left side:
2(x + 1/2) = 2 * (8/5) * 100
Simplifying further:
2x + 1 = 8/5 * 100
2x + 1 = 8 * 20
2x + 1 = 160
Now, let's subtract 1 from both sides to isolate 2x:
2x = 160 - 1
2x = 159
Finally, divide both sides by 2 to solve for x:
x = 159/2
x = 79.5
Therefore, the solution to the equation is x = 79.5.