Question

1/3(x-1)+1/2(x+3)=12

Answer 1

Вот так надо решить это решение

Answer 2

Ответ:

Пошаговое объяснение:

1/2x+1/3х=1/12  |*12

6x+4x=1

10x=1

x=1:10

x=0,2

Ответ x=0,2

Answer 3

To solve the equation $\frac{1}{3}(x-1) + \frac{1}{2}(x+3) = 12$, follow these steps:

Step 1: Clear the fractions by multiplying every term in the equation by the least common multiple (LCM) of 3 and 2, which is 6. This will eliminate the fractions.

Step 2: Simplify and solve for $x$.

Let's go through the steps in detail:

Step 1: Clear the fractions Multiply both sides of the equation by 6: $6 \cdot \left( \frac{1}{3}(x-1) \right) + 6 \cdot \left( \frac{1}{2}(x+3) \right) = 6 \cdot 12$

Simplify: $2(x-1) + 3(x+3) = 72$

Step 2: Simplify and solve for $x$ Distribute the terms: $2x - 2 + 3x + 9 = 72$

Combine like terms: $5x + 7 = 72$

Subtract 7 from both sides: $5x = 65$

Now, divide both sides by 5 to solve for $x$: $x = \frac{65}{5}$

Final result: $x = 13$

So the solution to the equation is $x = 13$.