Question

(2х+7)/3 - (х-3)/2 = 4х ​

Answer 1

!!!!Сори за почерк!!!!

Answer 2

To solve the equation (2x + 7)/3 - (x - 3)/2 = 4x, you can follow these steps:

Step 1: Eliminate the fractions by finding a common denominator, which in this case is 6. Multiply every term by 6 to clear the fractions:

6 * [(2x + 7)/3] - 6 * [(x - 3)/2] = 6 * (4x)

This simplifies to:

2(2x + 7) - 3(x - 3) = 24x

Step 2: Distribute and simplify:

4x + 14 - 3x + 9 = 24x

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

4x - 3x + 14 + 9 = 24x

x + 23 = 24x

Step 4: Move the x term to one side by subtracting x from both sides:

x - x + 23 = 24x - x

23 = 23x

Step 5: Finally, solve for x by dividing both sides by 23:

23/23 = (23x)/23

1 = x

So, the solution to the equation is:

x = 1