(5x-7)/3 =2
5x-7=2×3=6 (after cross multiplication)
5x=6+7=13
x=13/5=2whole of 3/5

Problem: Solve the equation 5x - 7/3 = 2.

Solution:

To solve the given equation, we need to isolate the variable x. Let's go through the process step by step.

Step 1: Simplify the equation
To simplify the equation, we first need to simplify the expression on the left-hand side (LHS) of the equation.

The expression 5x - 7/3 can be simplified by finding a common denominator for the terms 5x and 7/3. The common denominator for 3 and 1 is 3. So, we can rewrite the expression as follows:

5x - 7/3 = (15x - 7)/3

Step 2: Move constants to the right-hand side
Next, we move the constant term (2) from the right-hand side (RHS) to the left-hand side (LHS) of the equation by performing the opposite operation, which is subtraction.

(15x - 7)/3 - 2 = 0

Multiplying 2 by 3, we get:

(15x - 7)/3 - 6/3 = 0

Simplifying further, we have:

(15x - 7 - 6)/3 = 0

(15x - 13)/3 = 0

Step 3: Isolate the variable x
To isolate the variable x, we need to eliminate the fraction by multiplying both sides of the equation by the denominator (3).

3 * (15x - 13)/3 = 0 * 3

This simplifies to:

15x - 13 = 0

Step 4: Solve for x
To solve for x, we need to isolate it on one side of the equation. We can do this by moving the constant term (-13) to the right-hand side of the equation by adding 13 to both sides:

15x - 13 + 13 = 0 + 13

This simplifies to:

15x = 13

Step 5: Divide by the coefficient of x
To find the value of x, we divide both sides of the equation by the coefficient of x, which is 15:

(15x)/15 = 13/15

This simplifies to:

x = 13/15

Therefore, the solution to the equation 5x - 7/3 = 2 is x = 13/15.