Select all equations that are equivalent to
(6x + 2)
3
-=2(3x +14)
(Select all that apply.)
(6x + 2)
3
(6x + 2) = 2 (3x+14)
2x+3=2-(3x +14)
=-3x-12
6x + 2 = -9x-36
(6x + 2)
3
= -3x+16

Using simplification, the equations that are equivalent to [tex]\frac{(6x+2)}{3} =2-(3x+14)[/tex] are [tex]\frac{(6x+2)}{3 } = -3x-12[/tex] and 6x + 2 = -9x - 36What are equivalent equation?Two systems of equations are equivalent if they have the same solution(s)In a simpler term, two equations are equivalent if they have the same solution.Therefore, let's simplify the equation to find the equivalent solutions.[tex]\frac{(6x+2)}{3} =2-(3x+14)[/tex]let's open the brackets of the right side of the equation.[tex]\frac{(6x+2)}{3}=2-(3x+14)[/tex][tex]\frac{(6x+2)}{3} = 2-3x-14[/tex][tex]\frac{(6x+2)}{3 } = -3x-12[/tex]Therefore, let's cross multiply6x + 2 = 3(-3x - 12)6x + 2 = -9x - 36Therefore, the equivalent equation are as follows:[tex]\frac{(6x+2)}{3 } = -3x-12[/tex]6x + 2 = -9x - 36learn more on equivalent equation here: https://brainly.com/question/10522819#SPJ1