Question

3x-8 / 4 - 2x - 6 / 3 = x/12​

Answer 1

Ответ:

0

Пошаговое объяснение:

$\frac{3x-8}{4} - \frac{2x-6}{3} = \frac{x}{12}\\\\3(3x-8) - 4(2x-6) = x\\9x - 24 - 8x + 24 = x\\9x - 8x - x = -24 + 24\\0$

Answer 2

To solve the equation $\frac{3x - 8}{4} - \frac{2x - 6}{3} = \frac{x}{12}$, follow these steps:

Step 1: Find a common denominator. The common denominator for 4 and 3 is 12, so rewrite the fractions:

$\frac{3x - 8}{4}$ becomes $\frac{3(3x - 8)}{3(4)} = \frac{9x - 24}{12}$.

$\frac{2x - 6}{3}$ becomes $\frac{4(2x - 6)}{4(3)} = \frac{8x - 24}{12}$.

Step 2: Rewrite the equation with a common denominator.

$\frac{9x - 24}{12} - \frac{8x - 24}{12} = \frac{x}{12}$.

Step 3: Combine like terms.

$(9x - 24) - (8x - 24) = x$.

Simplify:

$9x - 24 - 8x + 24 = x$.

$x = x$.

Step 4: Check the solution.

Since the equation simplifies to $x = x$, this means the equation is true for all real values of x. In other words, it is an identity, which means the original equation is true for all valid values of x.

Therefore, the solution to the equation is all real numbers.