SmartZebra
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Problem: 7x - 3 (2x - 9) = 6x + 3
Please give me a clear explanation, I'm new to this unit.

Sagot :

et762572

Answer:  [tex]x=\frac{24}{5}[/tex] , (decimal: x=4.8)

Step-by-step explanation:

[tex]7x-3\left(2x-9\right)=6x+3[/tex]

[tex]7x-6x+27=6x+3[/tex]

[tex]x+27=6x+3[/tex]

[tex]x+27-27=6x+3-27[/tex]

[tex]x=6x-24[/tex][tex]x-6x=6x-24-6x[/tex]

[tex]-5x=-24[/tex]

[tex]\frac{-5x}{-5}=\frac{-24}{-5}[/tex]

[tex]x=\frac{24}{5}[/tex]

Answer:

[tex]x=\frac{24}{5}[/tex]

Step-by-step explanation:

[tex]7x-3\left(2x-9\right)=6x+3[/tex]

Use the distributive property to multiply -3 by 2x-9:-

[tex]7x-6x+27=6x+3[/tex]

Combine 7x and -6x to get x:-

[tex]x+27=6x+3[/tex]

Subtract 6x from both sides:-

[tex]x+27-6x=3[/tex]

Combine x and -6x to get -5x:-

[tex]-5x+27=3[/tex]

Subtract 27 from both sides:-

[tex]-5x=3-27[/tex]

[tex]-5x=-24[/tex]

Divide both sides by -5:-

[tex]x=\frac{24}{5}[/tex]

OAmalOHopeO

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.