Question

15 – 0.5(4x – 2) + 4x = 17

Answer 1

`\large\boxed{x=(1)/(2)=0.5}`

Explanation:

`15-0.5(4x-2)+4x=17\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\15+(-0.5)(4x)+(-0.5)(-2)+4x=17\\\\15-2x+1+4x=17\qquad\text{combine like terms}\\\\(-2x+4x)+(15+1)=17\\\\2x+16=17\qquad\text{subtract 16 from both sides}\\\\2x+16-16=17-16\\\\2x=1\qquad\text{divide both sides by 2}\\\\(2x)/(2)=(1)/(2)\\\\x=(1)/(2)`