Question

7(x-6)/4 = 5(x+1)/3 -3

Answer 1

ответ

х=-1

7(х-6)/4=5(х+1)/3 -3

Answer 2

To solve the equation $\frac{7(x-6)}{4} = \frac{5(x+1)}{3} - 3$, you'll want to first clear the fractions by multiplying both sides of the equation by the least common multiple (LCM) of 4 and 3, which is 12. Here are the steps:

1. Multiply both sides of the equation by 12 to clear the fractions:

$\frac{7(x-6)}{4} \cdot 12 = \left(\frac{5(x+1)}{3} - 3\right) \cdot 12$

2. Simplify both sides:

$3 \cdot 7(x-6) = 4 \cdot (5(x+1)) - 3 \cdot 12$

3. Distribute on both sides:

$21(x-6) = 20(x+1) - 36$

4. Now, expand further:

$21x - 126 = 20x + 20 - 36$

5. Subtract $20x$ from both sides to isolate the variable:

$21x - 20x - 126 = 20 - 36$

6. Combine like terms:

$x - 126 = -16$

7. Add 126 to both sides to solve for $x$:

$x - 126 + 126 = -16 + 126$

$x = 110$

So, the solution to the equation is $x = 110$.