Answer:
x = 9.5
Step-by-step explanation:
3( x - 6 ) + 3 = 4 + x
Do the distributive property (multiply what is in the parenthesis () by 3)
3 * x + 3 * -6 + 3 = 4 + x
3x - 18 + 3 = 4 + x
Combine Like terms ( the -18 and the 3)
3x - 15 = 4 + x
Subtract x on both sides
3x - x - 15 = 4 + x - x
2x - 15 = 4
Add 15 on both sides
2x - 15 + 15 = 4 + 15
2x = 19
Divide by 2 to isolate the variable "x"
2x/2 = 19/2
x = 9.5
Check
Use substitution, now that we have the value fo "x" ( 9.5) we can substitute that into the eqaution to see if we got it correct
3( x - 6 ) + 3 = 4 + x
3( 9.5 - 6 ) + 3 = 4 + 9.5
Distribute what is in the parenthesis by 3
3 * 9.5 + 3 * -6 + 3 = 4 + 9.5
28.5 - 18 + 3 = 4 + 9.5
10.5 + 3 = 4 + 9.5
13.5 = 4 + 9.5
13.5 = 13.5
CORRECT
Hope this helped!
Have a supercalifragilisitcexpialidocious day!
