Solve the equation for x.
1/4 x = -3/8 x + 5
x = __
Solve the equation for x. 1/4 x = -3/8 x + 5 x =
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Solve the equation for x.
1/4 x = -3/8 x + 5
x = __
To solve the equation ( frac{1}{4} x = -frac{3}{8} x + 5 ), follow these steps:
1. First, let’s eliminate the fractions by finding a common denominator. The common denominator between 4 and 8 is 8. So, we can rewrite the equation as:
[ frac{2}{8} x = -frac{3}{8} x + 5 ]
2. Now, let’s add (frac{3}{8} x) to both sides to get all the (x) terms on one side:
[ frac{2}{8} x + frac{3}{8} x = 5 ]
3. Combine the (x) terms:
[ frac{5}{8} x = 5 ]
4. Now, isolate (x) by multiplying both sides by the reciprocal of (frac{5}{8}), which is (frac{8}{5}):
[ x = 5 times frac{8}{5} ]
5. Simplifying this gives:
[ x = 8 ]
Therefore, the solution is ( x = 8 ). If you need more detailed steps or further assistance, feel free to check the extended services page!