solve and check 4/5+4x=7x+94/5

Question

please help!

Answer 1

The equation is 4/5 + 4x = 7x + 94/5.

Subtract 4x  from each side.

4/5 + 4x - 4x = 7x + 94/5 - 4x

4/5 = 3x + 94/5

Subtract 94/5 from each side

4/5 - 94/5 = 3x + 94/5 - 94/5

4/5 - 94/5 = 3x

(4 - 94) / 5 = 3x

-90 / 5 = 3x

-18 = 3x

Divide each side by 3

-18 / 3 = 3x / 3

-6 = x.

Check:-

To check the solutionn , the value of  x = -6 in the original equation.

4/5 + 4 ( -6 ) = 7 ( -6 ) + 94/ 5

4/5 -24 = -42 + 94/5

( 4 - 120) / 5 = (- 210 + 94 )  / 5

- 116 / 5 = - 116 / 5

The above statement is true, so the value of x = -6 is a solution of the original equation.