Question

х – 4 = 1/3 (6x - 54)
Solve this equation for x.

Answer 1

Answer:

x = 14

Step-by-step explanation:

Step 1: Write equation

x - 4 = 1/3(6x - 54)

Step 2: Solve for x

1. Distribute 1/3: x - 4 = 2x - 18
2. Subtract x on both sides: -4 = x - 18
3. Add 18 to both sides: x = 14

Step 3: Check

Plug in x to verify it's a solution.

14 - 4 = 1/3(6(14) - 54)

10 = 1/3(84 - 54)

10 = 1/3(30)

10 = 10