3 years ago

15 – 0.5(4x – 2) + 4x = 17

Mathematics

1 answer:

loris [4]3 years ago

4 0

Answer:

$\large\boxed{x=\dfrac{1}{2}=0.5}$

Step-by-step explanation:

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

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