Solving 3(x + 2) = 4/5

To solve the equation 3(x + 2) = 4/5, we will follow a step-by-step process.

Step 1: Distribute the 3 to the terms inside the parentheses
When we distribute the 3 to the terms inside the parentheses, we get:
3 * x + 3 * 2 = 4/5

Simplifying further, we have:
3x + 6 = 4/5

Step 2: Convert the fraction to a decimal
To make the equation easier to work with, let's convert the fraction 4/5 to a decimal.
Dividing 4 by 5, we get 0.8. Therefore, the equation becomes:
3x + 6 = 0.8

Step 3: Isolate the variable
To isolate the variable x, we need to get rid of the constant term 6 on the left side of the equation. We can do this by subtracting 6 from both sides of the equation:
3x + 6 - 6 = 0.8 - 6

Simplifying further, we have:
3x = -5.2

Step 4: Solve for x
To solve for x, we need to divide both sides of the equation by 3:
(3x)/3 = (-5.2)/3

Simplifying further, we have:
x = -5.2/3

Step 5: Simplify the result
To simplify the result, we can divide the numerator and denominator of the fraction -5.2/3 by their greatest common divisor (GCD). In this case, the GCD of -5.2 and 3 is 0.2. Dividing both -5.2 and 3 by 0.2, we get:
x ≈ -26/15

Therefore, the solution to the equation 3(x + 2) = 4/5 is x ≈ -26/15.