Question

(12-х)/4- (2-х)/3=х/6

Answer 1

$\frac{12-x}{4} -\frac{2-x}{3} =\frac{x}{6} \\3(12-x)-4(2-x)=2x\\36-3x-8+4x=2x\\28+x=2x\\x-2x=-28\\-x=-28\\x=28$

Answer 2

Let's solve the equation step by step:

(12 - x) / 4 - (2 - x) / 3 = x / 6

To simplify the equation, let's find a common denominator for the fractions on the left side. The least common multiple (LCM) of 4 and 3 is 12.

(3 * (12 - x)) / (3 * 4) - (4 * (2 - x)) / (4 * 3) = x / 6

(36 - 3x) / 12 - (8 - 4x) / 12 = x / 6

Now, we can combine the fractions on the left side:

[(36 - 3x) - (8 - 4x)] / 12 = x / 6

Let's simplify the numerator:

(36 - 3x - 8 + 4x) / 12 = x / 6

(28 + x) / 12 = x / 6

Now, we can eliminate the denominators by multiplying both sides of the equation by 12:

12 * (28 + x) / 12 = (x / 6) * 12

28 + x = 2x

Now, we can solve for x:

28 = 2x - x

28 = x

Therefore, the solution to the equation is x = 28.