Algebra 1 Question

Question

What is the solution to the equation -2x - 10 = 2/3(x+1)?

A. 4

B.2

C. -4

Answer 1

-2x -10 = (2/3)(x+1)

try x= 4

-8-10 = (2/3)(5)

-18 doesn't = 10/3

try 2

-4-10 = (2/3)(3)

-14 = 2

doesn't work

try -4

8 -10 = (2/3)(-4+1)

-2 = (2/3(-3) = -2 BINGO

x=-4 is the solution

C is the

answer

Answer 2

-2x-10 = (2/3)(x+1)

-6x-30 = 2(x+1) <-- Multiply both sides by 3 to eliminate fraction

-6x-30 = 2x+2

-30 = 8x+2

-32 = 8x

-4 = x

Therefore, C is the correct answer!

Hope this helped!