Question

5/8 x - 5/12 + 1/6 x =1/4

Answer 1

Ответ:

18x=16

Осылай шығарылыды

Answer 2

To solve the equation $\frac{5}{8}x - \frac{5}{12} + \frac{1}{6}x = \frac{1}{4}$, follow these steps:

Step 1: Combine the like terms on the left side of the equation: $\frac{5}{8}x + \frac{1}{6}x - \frac{5}{12} = \frac{1}{4}$

Step 2: Find a common denominator for the fractions on the left side. The least common multiple (LCM) of 8, 6, and 12 is 24. Rewrite the fractions with a common denominator of 24: $\frac{15}{24}x + \frac{4}{24}x - \frac{10}{24} = \frac{1}{4}$

Step 3: Add the fractions on the left side: $\frac{15x + 4x - 10}{24} = \frac{1}{4}$

Step 4: Combine the terms in the numerator on the left side: $\frac{19x - 10}{24} = \frac{1}{4}$

Step 5: Cross-multiply to eliminate the fractions: $4(19x - 10) = 24$

Step 6: Distribute the 4 on the left side: $76x - 40 = 24$

Step 7: Add 40 to both sides to isolate the variable term: $76x = 64$

Step 8: Divide both sides by 76 to solve for x: $x = \frac{64}{76}$

Step 9: Simplify the fraction: $x = \frac{16}{19}$

So, the solution to the equation $\frac{5}{8}x - \frac{5}{12} + \frac{1}{6}x = \frac{1}{4}$ is $x = \frac{16}{19}$.