Answer:
x = 3.5
Step-by-step explanation:
[tex]5(2x-9) + 3 = -7[/tex]
First, we'll expand the parenthesis by multiplying 2x and -9 with 5:
[tex]5(2x-9) + 3 = -7\\(5*2x) -(5*9) + 3 = -7\\10x-45+3 = -7[/tex]
Let's just simplify -45 + 3:
[tex]10x-45+3 = -7\\10x -42 = -7[/tex]
Now we can add 42 to both sides:
[tex]10x -42 = -7\\10x = -7 + 42\\10x = 35[/tex]
Finally, let's divide both sides by 10 to find x:
[tex]10x = 35\\x = 35/10\\x = 3.5[/tex]
Answer: x = 3.5
