Question

5x-3/8=1-3x/4 решение уравнений​

Answer 1

Ответ:

5х-3х=4+3*8

2х=28

х=14

Answer 2

Ответ:

Объяснение:

(5x-3)/8=(1-3x)/4

8-24x=20x-12

44x=8+12

44x=20 // : 44

x=20/44

x=5/11

Answer 3

To solve the equation $5x - \frac{3}{8} = 1 - \frac{3x}{4}$, we'll first eliminate the fractions by multiplying the entire equation by the least common multiple (LCM) of the denominators, which is 8 in this case. This will clear the fractions and make the equation easier to solve. Follow these steps:

Step 1: Multiply everything by 8 to eliminate fractions: $8 \cdot \left( 5x - \frac{3}{8} \right) = 8 \cdot \left( 1 - \frac{3x}{4} \right)$

Step 2: Distribute on both sides: $8 \cdot 5x - 8 \cdot \frac{3}{8} = 8 \cdot 1 - 8 \cdot \frac{3x}{4}$

Step 3: Simplify the equation: $40x - 3 = 8 - 2x$

Step 4: Move all the $x$ terms to one side and constants to the other side: $40x + 2x = 8 + 3$

Step 5: Combine like terms: $42x = 11$

Step 6: Solve for $x$ by dividing both sides by 42: $x = \frac{11}{42}$

So the solution to the equation is $x = \frac{11}{42}$.