5 2 ( x − 4 ) = 2 x ( 5 2 ( x − 4 ) = 10 x 2 x − 8 = 10 x 2 x − 10 x = 8 − 8 x = 8 ∣ : 8 − x = 1 x = − 1
To solve the equation 5 2 ( x − 4 ) = 2 x , we eliminate the fraction by multiplying both sides by 5, distribute to simplify, and then rearrange the equation to isolate x . Ultimately, we find that x = − 1 .
;