Answer:
x=6
Step-by-step explanation:
The given equation is
[tex]7+5(x-3)=22[/tex]
We need to find the value of x for which the given statement is true.
Using distributive property we get
[tex]7+5(x)+5(-3)=22[/tex]
[tex]7+5x-15=22[/tex]
[tex]5x-8=22[/tex]
Add 8 on both sides.
[tex]5x=22+8[/tex]
[tex]5x=30[/tex]
Divide both sides by 5.
[tex]\dfrac{5x}{5}=\dfrac{30}{5}[/tex]
[tex]x=6[/tex]
Therefore, the given statement is true form x=6.
