Is 1/8 - 10 (3/4-3/8x) + 5/8x equivalent to -1/8(59-35x)Explain your answer.

Answer:Yes!Step-by-step explanation:Lets start with 1/8 - 10 (3/4-3/8x) + 5/8x and try to simplify it:1/8 - 10 (3/4-3/8x) + 5/8 x = ?Apply distributive and multiply the inside terms by 10 that is outside the parenthesis:1/8 - [10*(3/4) - 10(3/8)x] +5/8 x = 1/8 - [30/4 - 30/8 x] +5/8 xWe can now drop the parenthesis: 1/8 - 30/4 + 30/8 x +5/8 x = Now we put together terms with and without x:[ 1/8 - 30/4] + [30/8 x + 5/8 x] =Multiply and divide the 30/4 term by 2 to make an 8 appear in the denominator:[1/8 - 2*(30)/2*(4)] + [30/8 x  + 5/8 x] =[1/8 - 60/8] + [30/8 x + 5/8 x] = -59/8 + 30/8 x + 5/8 x  = -59/8 + 35/8 xTaking -1/8 as common factor in both terms:= -1/8 [ -59 - 35 x]So, we can confirm that:1/8 - 10 (3/4-3/8x) + 5/8 x = -1/8 [ -59 - 35 x]Answer: YES, the terms are equivalent!