Solve 6 - 2/3 (x+5) = 4x algebraically

4/7 = x

Step-by-step explanation:

6 - 2/3 (x+5) = 4x

Multiply each side by 3 to clear the fraction

3 (6 - 2/3 (x+5)) = 4x*3

Distribute

18 - 2 (x+5) = 12x

Distribute the 2

18 - 2x-10 = 12x

Combine like terms

8 - 2x = 12x

Add 2x to each side

8-2x+2x = 12x+2x

8 = 14x

Divide by 14 on each side

8/14 = 14x/14

4/7 = x