Question

Б) 8 - 3/2 ×(3Х+2)=4/3 * (1-2х)​

Answer 1

Ответ:

х = 2

Объяснение:

8 - (9х+6)/2 = (4-8х)/3

48-27х-18 = 8-16х

16х-27х = 8-30

-11х = -22

х = -22 : (-11)

х = 2

Answer 2

To solve the equation $8 - \frac{3}{2} \cdot (3x + 2) = \frac{4}{3} \cdot (1 - 2x)$, you can follow these steps:

Step 1: Distribute the fractions on both sides of the equation to get rid of them.

$$8 - \frac{3}{2} \cdot (3x + 2) = \frac{4}{3} \cdot (1 - 2x)$$

$$8 - \frac{3}{2} \cdot 3x - \frac{3}{2} \cdot 2 = \frac{4}{3} \cdot 1 - \frac{4}{3} \cdot 2x$$

Step 2: Simplify the expressions.

$$8 - \frac{9}{2}x - 3 = \frac{4}{3} - \frac{8}{3}x$$

Step 3: Combine like terms on both sides of the equation.

$$5 - \frac{9}{2}x = \frac{4}{3} - \frac{8}{3}x$$

Step 4: Get all the x terms on one side and the constants on the other side. You can do this by adding $\frac{8}{3}x$ to both sides and subtracting $\frac{4}{3}$ from both sides.

$$5 - \frac{9}{2}x + \frac{8}{3}x = -\frac{4}{3}$$

Step 5: Find a common denominator for the fractions and combine them.

$$\frac{30}{6} - \frac{27}{6}x + \frac{16}{6}x = -\frac{4}{3}$$

Step 6: Combine like terms on the left side of the equation.

$$\frac{30 - 27x + 16x}{6} = -\frac{4}{3}$$

$$\frac{30 - 11x}{6} = -\frac{4}{3}$$

Step 7: Multiply both sides by 6 to eliminate the fraction on the left side.

$$30 - 11x = -\frac{4}{3} \cdot 6$$

$$30 - 11x = -8$$

Step 8: Now, isolate the variable x by adding 11x to both sides of the equation.

$$30 - 11x + 11x = -8 + 11x$$

$$30 = 11x - 8$$

Step 9: Add 8 to both sides to further isolate x.

$$30 + 8 = 11x - 8 + 8$$

$$38 = 11x$$

Step 10: Finally, divide both sides by 11 to solve for x.

$$\frac{38}{11} = \frac{11x}{11}$$

$$x = \frac{38}{11}$$

So, the solution to the equation is $x = \frac{38}{11}$.