Question

solve the following equation:

P.S. - the answer is 10
just need the method​

do not take the liberty , I got the answer

Answer 1

Answer:

x = 10

Step-by-step explanation:

$\frac{x - 1}{3} = \frac{1}{4} (x - 2) + 1$

$\frac{x - 1}{3} = \frac{1}{4} x - \frac{1}{2} + 1$

$\frac{x - 1}{3} = \frac{1}{4} x + \frac{1}{2}$

Now, LCM of 3, 4 and 2 is 12 So, we need to multiply both sides of the equation by 12.

$\frac{1}{3} \times 12 (x - 1)= \frac{1}{4} \times 12x + \frac{1}{2} \times 12$

$\frac{12}{3} (x - 1) = \frac{12}{4} x + \frac{12}{2}$

$4(x - 1) = 3x + 6$

We still have parenthesis, so we need to distribute 4 between the parenthesis.

$(4 \times x) ( 4 \times - 1) = 3x + 6$

$4x - 4 = 3x + 6$

$4x - 3x = 6+ 4$

$x = 10$

Hope it helps you