Question

What does X equal in the equation 8(4-x) =7x +2

Answer 1

x = 2

Explanation:

`8(4-x)=7x+2\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(8)(4)+(8)(-x)=7x+2\\\\32-8x=7x+2\qquad\text{subtract 32 from both sides}\\\\32-32-8x=7x+2-32\\\\-8x=7x-30\qquad\texy{subtract}\ 7x\ \text{from both sides}\\\\-8x-7x=7x-7x-30\\\\-15x=-30\qquad\text{divide both sides by (-15)}\\\\(-15x)/(-15)=(-30)/(-15)\\\\x=2`

Answer 2

x = 2

Explanation:

Given

8(4 - x) = 7x + 2 ← distribute parenthesis on left side

32 - 8x = 7x + 2 ( subtract 7x from both sides )

32 - 15x = 2 ( subtract 32 from both sides )

- 15x = - 30 ( divide both sides by - 15 )

x = 2