Question

-1/4x - 12 = x + 3
what value of x makes this equation true?

Answer 1

X=-12 edg 2022
Got quiz right

Answer 2

x is -12

Explanation:

`\rightarrow (-1)/(4)x-12-x=x+3-x\\\\\rightarrow (-1)/(4)\cdot x-x-12=x+3-x\\\\\rightarrow (-1)/(4)+(-4)/(4)x-12=x+3-x\\\\\rightarrow (-1-4)/(4)\cdot x-12=x+3-x\\\\\rightarrow (-5)/(4)\cdot x-12=x+3-x\\\\\rightarrow (-5)/(4)\cdot x-12=x-x+3\\\\(-5)/(4)\cdot x-12=3`

Step 2

`\rightarrow (-5)/(4)\cdot x-12=3\\\\\rightarrow (-5)/(4)x-12+12=3+12\\\\\rightarrow (-5)/(4)\cdot x=3+12\\\\ (-5)/(4)\cdot x=15`

Step 3

`\rightarrow (-5)/(4)\cdot x=15\\\\\rightarrow (-5)/(4)x\cdot (4)/(-5)=15\cdot (4)/(-5)\\\\\rightarrow (-5)/(4)\cdot x\cdot (-4)/(5)=15\cdot (4)/(-5)\\\\\rightarrow (-5)/(4)\cdot (-4)/(5)x=15\cdot (4)/(-5)\\\\\rightarrow 1x=15\cdot (4)/(-5)\\\\\rightarrow x=15\cdot (4)/(-5)\\\\\rightarrow x=15\cdot (-4)/(5)\\\\\rightarrow x=(15\cdot -4)/(5)\\\\x=-12`