Solve for x.

5/8(x+1/2)=100
(1 point)
Responses

16012
160 and 1 half

62
62

15912
159 and 1 half

63

11 answers

To solve for x, we need to isolate it on one side of the equation.

5/8(x + 1/2) = 100

First, distribute the 5/8 to the terms inside the parentheses:

5/8 * x + 5/8 * 1/2 = 100

5/8 * x + 5/16 = 100

To eliminate the fraction, multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:

8/5 * (5/8 * x + 5/16) = 8/5 * 100

On the left side, the 5/8 * 8/5 cancels out, leaving us with x + 5/16:

x + 5/16 = 800/5

Simplifying the right side:

x + 5/16 = 160

Next, subtract 5/16 from both sides of the equation to isolate x:

x = 160 - 5/16

To subtract the fractions, find a common denominator (16):

x = (160 * 16)/16 - 5/16

x = 2560/16 - 5/16

x = (2560 - 5)/16

x = 2555/16

So, the solution for x is 2555/16.
Solve for x.

5/8(x+1/2)=100

160 1/2
62
159 1/2
63
To solve for x in the equation 5/8(x+1/2)=100, we need to get rid of the fraction first.

Multiply both sides of the equation by 8/5 to eliminate the fraction:

(8/5) * (5/8) * (x+1/2) = (8/5) * 100

On the left side, the 5/8 and 8/5 cancel out, leaving us with:

x + 1/2 = (8/5) * 100

Simplify the right side:

x + 1/2 = 800/5

Now, subtract 1/2 from both sides to isolate x:

x = 800/5 - 1/2

To subtract the fractions, find a common denominator (10):

x = (800 * 2)/10 - 1/2

x = 1600/10 - 1/2

x = (1600 - 1)/10

x = 1599/10

Therefore, the solution for x is 1599/10, which can be expressed as 159 9/10 or 159.9.
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