Answer:
[tex]x=9[/tex]
Step-by-step explanation:
First Let's rewrite the equation.
[tex]2(x+5)-7=3(x-2)[/tex]
Now lets simplify.
We will start by distributing.
[tex](2)(x)+(2)(5)+(-7)=(3)(x)+(3)(-2)[/tex]
That will now look like:
[tex]2x+10+(-7)=3x+(-6)[/tex]
Now we will simplify even further.
To do so we must combine like terms!
[tex](2x)+(10+(-7))=3x(-6)[/tex]
10 plus negative 7 is equal to 3.
[tex]2x + 3[/tex] is the first part of our equation.
Now we will want to isolate the x values.
To do so we will want to subtract 3 from both sides.
-6 minus 3 is equal to -9
Our new equation is
[tex]2x=3x-9[/tex]
Now we will subtract 3x from both sides.
2x-3x= -x
Our new equation is:
[tex]-x=-9[/tex]
Now we will divide both sides by 1, this way both sides will be positive.
[tex]\frac{-x}{1} =\frac{-9}{1}[/tex]
That equals:
[tex]x=9[/tex]
Thus, Our answer is [tex]x=9[/tex]!
