Solve each equation. 5x-2(x+4)=3(2x+1)

Question

Accepted Answer

Hey everyone here we are asked to solve the linear equation where we have nine x minus seven times the quantity of X plus eight is equal to eight times the quantity of four X plus three. Now our first step here is to use the distributive property so that we distribute in this seven and this eight in our equation. So doing this we have nine x minus seven, X minus 56 is equal to X plus 24. So now we want to manipulate this equation so that we have all of our X terms on one side. And we can begin by first just subtracting this X from both sides of the equation. So that we move the 32 X. From the right hand side to the left hand side. So doing this, our equation becomes nine x minus seven x minus 32 X minus 56 is equal to 2 24. And now we want to move this negative 56 to the right hand side again so that we have all of our X terms on one side. So doing this, we need to add 56 to both sides. And with this our equation becomes nine x minus seven X minus 32 X is equal to 24 plus 56. So now our next step is to just combine our like terms here and we see on the left hand side nine x minus seven X minus X. Gives us negative 30 X. And this is equal to 24 plus 56 which adds to 80. And now we need to get rid of this coefficient for X so that it is completely isolated. And to do this we need to divide both sides by the coefficient which is negative 30. And now doing this our equation becomes X is equal to divided by negative 30. And simplifying, we see that X is equal to eight divided by negative three. So with this we have solved for X by isolating X completely on one side of the equation. So our final answer here is negative eight thirds, which is answer choice B. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Solve each equation. 5x-2(x+4)=3(2x+1)

Verified Solution

Key Concepts

Distributive Property

Combining Like Terms

Solving Linear Equations