how would you do this problem?

Question

May you please explain it step by step?

9(x+3)=4x-3

Answer 1

Distribute the 9 over the left side term:

9(x+3) -- > 9x + 27

Then substract 4x from both sides. Then subtract 27 from both sides. Then divide both sides by the term in front of the x (i.e. 5 if you substracted 4x from 9x).

Answer 2

This is a linear equation in which you need to find the value of x.

First, expand the equation
9x + 27 = 4x - 3

Then, place the unknowns on the left hand side (LHS) and integers on the right hand side (RHS)
9x - 4x = -3 - 27
(note that positive become negative and vice versa when switching sides)

Thirdly, solve the equation
5x = -30
x = -30/5
x = -6 (final answer)

9(x + 3) = 4x - 3
9x + 27 = 4x - 3
9x - 4x = -3 -27
5x = -30
x = -30/5
x = -6

Answer 3

First multiply the 9 times x and 9 times 3 in the parenthesis to get
9x + 27 = 4x - 3 then all you do is subtract 4x from both sides to get you 5x + 27 = -3 then subtract 27 from both sides to get the variable by itself. Now you've got 5x = -30. Now divide both sides by 5 to get you x = -6

Answer 4

You must remove the parentheses as your first step using the distributive law.

We have this:

9(x+3)=4x-3

9 times x = 9x

9 times 3 = 27

We now have this guy:

9x + 27 = 4x - 3

We now combine like terms.

9x - 4x = -27 - 3

5x = -30

Divide both sides of the equation by the coefficient 5 to find the value of x.

We do this:

x = -30 divided by 5

x = -6 as your final answer.

Guido

Answer 5

first distribute the 9 on the left side so you would get 9x + 27 = 4x - 3

next bring the 4x over to the left side (you must change it's sign) so it is like 9x - 4x + 27 = 3

then add like terms so it would be 5x + 27 = 3

then bring the 27 over to the right side (again change its sign) so it would be 5x = 3 - 27

so 5x = -25

then divide both sides by 5

you would get x = -25/5 and that equals -5

thus x = -5

Answer 6

First, multiply out the part on the left side.
You get 9x+27.
Then move the 'x' term to the left by subtracting 4x from the right and from 9x.
You get 5x+27=-3
Then subtract 27 from the left and from -3.
You get 5x=-30.
Divide by 5.
You get x=6

Answer 7

9(x+3) = 4x - 3
distribute the 9
9x + 27 = 4x - 3
group like numbers
5x = -30
get x by itself
x = -6

Answer 8

Expand the parentheses

9x + 27 = 4x - 3

Minus 4x from both sides

9x - 4x +27 = 4x - 4x - 3

5x + 27 = - 3

Eliminate 27

5x + 27 - 27 = -3 - 27

5x = - 30

Divide both sides by 5

x = -6

Answer 9

First multiply the left side through:

9x + 27

Then subtract 4x from both sides:

9x - 4x + 27 = -3

Next, subtract 27 from both sides:

9x - 4x = -3 - 27

Then combine like terms:

5x = -30

Divide both sides by 5, and you have your answer:

x = -6

Answer 10

9(x+3) = 4x-3
9x + 27 = 4x-3
9x - 4x + 27 + 3 = 0
5x + 30 = 0
5x = -30
x = -30/5
x = -6