Question

What is the x in 8(x+6)=43 ?

Answer 1

`\huge\boxed{x=-(5)/(8)=-0.625}`

Explanation:

`8(x+6)=43\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\(8)(x)+(8)(6)=43\\\\8x+48=43\qquad\text{subtract 48 from both sides}\\\\8x+48-48=43-48\\\\8x=-5\qquad\text{divide both sides by 8}\\\\(8x)/(8)=(-5)/(8)\\\\x=-(5)/(8)\to x=-0.625`

Answer 2

x = -5/8

Explanation:

8(x+6)=43

Distribute

8x +48 = 43

Subtract 48 from each side

8x +48-48 = 43-48

8x = -5

Divide each side by 8

8x/8 = -5/8

x = -5/8