Question

3/4*(0,5х+2/3)=3х+2 1/4​

Answer 1

3/4×(1/2х+2/3)=3х+9/4

Умножаем обе части уравнения на 8

3/8х+1/2=24х+18

3х-24х=18-4

-21х=14

х=-14/21

х=-2/3

Answer 2

Ответ:

-2/3

Пошаговое объяснение:

3/4*(0,5х+2/3)=3х+2 1/4

3/8х+6/12=3х+9/4

3х-3/8х=6/12-9/4

2 5/8х=-21/12

х=-21/12:21/8=21/12*8/12

х=-2/3

Answer 3

To solve the equation, let's follow these steps:

Step 1: Distribute the fraction on the left side of the equation: $\frac{3}{4} \left(0.5x + \frac{2}{3}\right) = 3x + \frac{2}{4}$

Step 2: Perform the operations inside the parentheses: $\frac{3}{4} \cdot 0.5x + \frac{3}{4} \cdot \frac{2}{3} = 3x + \frac{1}{2}$

Step 3: Simplify the fractions: $\frac{3}{8}x + \frac{1}{2} = 3x + \frac{1}{2}$

Step 4: Subtract $\frac{1}{2}$ from both sides of the equation to isolate the x terms: $\frac{3}{8}x = 3x$

Step 5: Divide both sides by $\frac{3}{8}$ to solve for x: $x = \frac{3x}{\frac{3}{8}}$ $x = 8 \cdot 3x$ $x = 24x$

Step 6: Subtract $24x$ from both sides to isolate x on one side: $x - 24x = 0$ $-23x = 0$

Step 7: Divide both sides by -23 to find the solution for x: $x = 0$

So, the solution to the equation is $x = 0$.