What is the solution to the equation 3 sqrt (5x-4) = 3 sqrt (7x+8) ? x = - 6 x = - 1 x = 1 x = 2

-6 = x

Step-by-step explanation:

3 sqrt (5x-4) = 3 sqrt (7x+8)

Divide each side by 3

3/3 sqrt (5x-4) = 3/3 sqrt (7x+8)

sqrt (5x-4) = sqrt (7x+8)

Square each side

(sqrt (5x-4)) ^2 = (sqrt (7x+8)) ^2

5x-4 = 7x+8

Subtract 5x from each side

5x-5x-4 = 7x-5x+8

-4 = 2x+8

Subtract 8 from each side

-4-8 = 2x+8-8

-12 = 2x

Divide by 2

-12/2 = 2x/2

-6 = x