Solve.

1/3(x+3/5)=3

1 answer

To solve the equation 1/3(x + 3/5) = 3, we need to isolate the variable x.

Step 1: Distribute 1/3 to both terms inside the parentheses:
1/3 * x + 1/3 * 3/5 = 3
1/3x + 3/15 = 3

Step 2: Simplify the fractions:
1/3x + 1/5 = 3

Step 3: Multiply both sides of the equation by 15 to eliminate the fractions:
15 * (1/3x + 1/5) = 15 * 3
5x + 3 = 45

Step 4: Subtract 3 from both sides of the equation:
5x = 45 - 3
5x = 42

Step 5: Divide both sides of the equation by 5 to solve for x:
x = 42/5 or x = 8.4

Therefore, the solution to the equation 1/3(x + 3/5) = 3 is x = 8.4.