Question

Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)

Answer 1

x=6

solve in the ( ) to get
4x + 20 = 9x + 4x - 34

then add your like terms (9x & 4x)
4x + 20 = 13x - 34

then add 34 to each side to get
4x + 54 = 13x

then subtract 4x from each side to get
54 = 9x

then divide each side by 9.

54 9x
— = —
9 9x

the right side leaves x and your right side leaves 6 therefore x=6

Answer 2

x=6

Explanation:

4(x+5) =9x+4x-34

1. we can simplifying the right hand side by adding 9x+4x

this gives us

4(x+5)=13x-34

2. we expand the brackets to get

4x+20=13x-34

3. we take the x on one side in this case we will subtract 4x from each side and add 34 on each side to get

54=9x

4. we divide each side by 9 because we want to find the value of x this gives us

6=x