Question

solve the equation and verify also​

Answer 1

$question = \frac{x - 4}{2} - \frac{x - 10}{4} = 7 \\ solution. \\ l \: c \: m \: 2 \: and \: 4 \: is \: 4. \\ \frac{2(x - 4) - 1(x - 10)}{4} = 7 \\ \frac{2x - 8 - x + 10}{4} = 7 \\ \frac{2x - x - 8 + 10}{4} = 7 \\ \frac{x + 2}{4} = 7 \\ x + 2 = 7 \times 4 \\ x + 2 = 28 \\ x = 28 - 2 \\ x = 26 \ \: \: answer$

Answer 2

Step-by-step explanation:

Lcm of 2and 4 = 4

$\frac{x - 4}{2} - \frac{x - 10}{4} = 7 \\ \frac{2(x - 4) - (x - 10)} {4} = 7$

{2x - 8 - x + 10}/4 = 7

2x - x + 10 - 8 = 7 x 4

x + 2 = 28

x = 28 - 2

x = 26

verifying the result

substituting x =26 in question

$\frac{x - 4}{2} - \frac{x - 10}{4} = 7 \\ \frac{26- 4}{2} - \frac{26 - 10}{4} = 7 \\ \frac{22}{2} - \frac{16}{4} = 7 \\ 11 - 4 = 7 \\ 7 = 7 \\ l. \: h. \: s. = \: r. \: h. \: s. \: verified$