Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Answer:
x = 34
Step-by-step explanation:
1/4(x - 2) + 4 = 12
Subtract 4 from both sides.
1/4(x - 2) = 8
Multiply both sides by 4.
x - 2 = 32
Add 2 to both sides.
x = 34
[tex]\bf{\dfrac{1}{4}(x-2)+4=12 }[/tex]
Use the distributive property to multiply 1/4 times x−2.
[tex]\bf{\dfrac{1}{4}x+\dfrac{1}{4}(-2)+4=12 }[/tex]
Multiply 1/4 and −2 to get -2/4.
[tex]\bf{\dfrac{1}{4}x+\dfrac{-2}{4}+4=12 }[/tex]
Reduce the fraction -2/4 to its minimum expression extracting and canceling 2.
[tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+4=12 }[/tex]
Convert 4 to the fraction 8/2.
[tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+\dfrac{8}{2} =12 }[/tex]
Since -1/2 and 8/2 have the same denominator, add their numerators to add them together.
[tex]\bf{\dfrac{1}{4}x+\dfrac{-1+8}{2 }=12 \ \ \longmapsto \ \ [Sum \ -1 \ and \ 8] }[/tex]
[tex]\bf{\dfrac{1}{4}x+\dfrac{7}{2 }=12 }[/tex]
Subtract 7/2 from both sides.
[tex]\bf{\dfrac{1}{4}x=12-\dfrac{7}{2} }[/tex]
Convert 12 to the fraction 24/2.
[tex]\bf{\dfrac{1}{4}x=\dfrac{24}{2}-\dfrac{7}{2} }[/tex]
Since 24/2 and 7/2 have the same denominator, subtract their numerators to subtract them.
[tex]\bf{\dfrac{1}{4}x=\dfrac{24-7}{2} \ \ \longmapsto \ \ [Subtract \ 7 \ from \ 24] }[/tex]
[tex]\bf{\dfrac{1}{4}x=\dfrac{17}{2 }[/tex]
Multiply both sides by 4, the reciprocal of 1/4.
[tex]\bf{x=\dfrac{17}{2}\times4 \ \longmapsto \ \ x=\dfrac{17\times4}{2} \ \ \ [Multiply \ 17 \ and \ 4.] }[/tex]
[tex]\bf{x=\dfrac{68}{2} \ \ \longmapsto \ \ \ [Split] }[/tex]
[tex]\red{\boxed{\bf{\blue{Answer \ \ \longmapsto \ \ x=34}}}}[/tex]
Skandar
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
