Question

Which value of x makes the equation 6(0. 5x − 1. 5) + 2x = −9 − (x + 6) true?

Answer 1

whatever we do on one side of the equation we also do on the other side. to deal with the numbers with ease, expand the brackets first !

6(0. 5x − 1. 5) + 2x = −9 − (x + 6)

3x - 9 + 2x = -9 - x - 6

5x - 9 = -x - 15

6x - 9 = - 15

6x = - 6

x = -1

therefore the value that makes the equation true is x = -1

Answer 2

x = -1

Explanation:

6(0.5x-1.5)+2x = -9-(x+6)

6(0.5x)+6(-1.5)+2x = -9-x-6

3x-9+2x = -x-15

5x-9 = -x-15

6x-9 = -15

6x = -6

x = -1

Plugging it back into the equation to check:

6(0.5(-1)-1.5)+2(-1) ?= -9-(-1+6)

6(-0.5-1.5)-2 ?= -9-5

6(-2)-2 ?= -14

-12-2 ?= -14

-14 = -14

Therefore, x = -1 is indeed the correct solution to the equation