Question

3 × (2х - 5) + 4х = 5 × (х - 3) + 27

Answer 1

6x - 15 + 4x = 5x - 15 + 27

10x - 5x = 27

5x = 27

x = 27 : 5

x = 5,4

Answer 2

3 × (2х - 5) + 4х = 5 × (х - 3) + 27
6x-15+4x=5x-15+27
10x-5x=12+15
5x=27
x=27:5
x=5,4

Answer 3

To solve the equation, let's first simplify both sides:

3 × (2х - 5) + 4х = 5 × (х - 3) + 27

Step 1: Distribute the multiplication on both sides:

On the left side: 3 × 2х = 6х 3 × (-5) = -15

So, the left side becomes: 6х - 15 + 4х

On the right side: 5 × х = 5х 5 × (-3) = -15

So, the right side becomes: 5х - 15 + 27

Step 2: Combine like terms on both sides:

Left side: 6х - 15 + 4х = 10х - 15

Right side: 5х - 15 + 27 = 5х + 12

Now, the equation becomes:

10х - 15 = 5х + 12

Step 3: Get all the x terms on one side and the constants on the other side:

Subtract 5х from both sides:

10х - 5х - 15 = 5х - 5х + 12

Simplify:

5х - 15 = 12

Step 4: Isolate x by getting rid of the constant term (-15) on the left side. Add 15 to both sides:

5х - 15 + 15 = 12 + 15

Simplify:

5х = 27

Step 5: Finally, solve for x by dividing both sides by 5:

x = 27 / 5

Now, to get the decimal approximation of x:

x ≈ 5.4

So, the solution to the equation is x ≈ 5.4.