Question

3x+5 x+1 ____- ___=1 5 3

Answer 1

Умножаем обе части равенства на 15=3(3х+5)-5(х+1)=15
раскрываем скобки= 9х+15-5х-5=15
убери равные слагаемые=9х-5х-5=0
приводим подобные члены=4х-5=0
4х=5
х=5/4
х=1.25

Answer 2

$\frac{3x+5}{5} - \frac{x+1}{3} =1$
$\frac{(3x+5)*15}{5} - \frac{(x+1)*15}{3} =1*15$
$(3x+5)*3-(x+1)*5=15$
$9x+15-5x-5=15$
              $4x=5$
                 $x=5:4$
                 $x=1,25$

Answer 3

To solve the given equation, we need to find the values of x that satisfy it. Let's proceed step by step to solve the equation:

Step 1: Combine the fractions on the left side of the equation. To do this, find a common denominator for the two fractions, which is 15 in this case.

(3x + 5) / 5 - (x + 1) / 3 = 1

Now, multiply each term by 15 to get rid of the denominators:

15 * [(3x + 5) / 5] - 15 * [(x + 1) / 3] = 15 * 1

Step 2: Simplify the equation: (3x + 5) * 3 - (x + 1) * 5 = 15

Step 3: Expand the terms: 9x + 15 - 5x - 5 = 15

Step 4: Combine like terms: (9x - 5x) + (15 - 5) = 15

Step 5: Simplify further: 4x + 10 = 15

Step 6: Move the constant term to the other side of the equation: 4x = 15 - 10

Step 7: Perform the subtraction: 4x = 5

Step 8: Solve for x by dividing both sides by 4: x = 5 / 4

So the solution to the equation is: x = 1.25