Question

0,5*(10х+51)=7(4х+5/14)

Answer 1

5x+25,5=28x+2,5

5x-28x=2,5-25,5

-23x=-23

x=1

Answer 2

To solve the equation, we'll start by simplifying and then solving for the variable "x".

Step 1: Distribute the multiplication on both sides of the equation:

0.5 * (10x + 51) = 7 * (4x + 5/14)

Step 2: Perform the multiplication:

5x + 25.5 = 28x + 5/2

Step 3: Get rid of the fractions by multiplying both sides by 2:

2 * (5x + 25.5) = 2 * (28x + 5/2)

10x + 51 = 56x + 5

Step 4: Move all "x" terms to one side of the equation and constants to the other side:

10x - 56x = 5 - 51

-46x = -46

Step 5: Solve for "x" by dividing both sides by -46:

x = (-46) / (-46)

x = 1

So the solution to the equation is x = 1.