Algebraic expressions unit test 7th grade math

15L+12S and 12*7=$159
5a-8c+b+3c-9a+6b=4a+7b-5c
-3/4r+3-5/6r-6=-19/12r-3
8(3p+2)=24p+16
-4(6a-5)=-24a+20
7/4(8h+3)=14h+21/4
-5/6(9b-12)=-15/2b+10
20x-4=4
30m+12n=6
8a-28=4(2a-7)
12y+6=6(2ty+1)
5(0.5k-1)+2(0.4-k)=0.5k-4.2
1/2(z+4)-3(1/4z+1)=-1/4z-1
(3b-2c)-(6c+2b)-(b+c)=-9c
open response
4+8(3x-2)-7x=17x-12 how did i get the answer 8*3x=24x 8*2=16 4+24x-16-7x=17x-12

To solve the equation 4+8(3x-2)-7x=17x-12, you can follow these steps:

1. Distribute the 8 to terms inside the parentheses:
4 + 8(3x) - 8(2) - 7x = 17x - 12

2. Simplify:
4 + 24x - 16 - 7x = 17x - 12

3. Combine like terms on both sides of the equation:
(24x - 7x) + (4 - 16) = 17x - 12
17x - 12 = 17x - 12

4. Notice that we have 17x on both sides of the equation. This means that the two sides are equal, and any value of x will make the equation true.

Therefore, the solution to the given equation is any real number x.

For anyone wondering they are fully correct