Answer:
[tex]\boxed {\tt x=3}[/tex]
Step-by-step explanation:
We want to solve for x, therefore we must isolate the variable.
We are given the equation:
[tex]2x+3=9[/tex]
3 is being added to 2x. The inverse of addition is subtraction. Subtract 3 from both sides of the equation.
[tex]2x+3-3=9-3[/tex]
[tex]2x=9-3[/tex]
[tex]2x=6[/tex]
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=\frac{6}{2}[/tex]
[tex]x=3[/tex]
Let's check our solution. Plug 3 in for x and solve.
[tex]2x+3=9[/tex]
[tex]2(3)+3=9[/tex]
[tex]6+3=9[/tex]
[tex]9=9[/tex]
This checks out, so we know our solution is correct.
The solution to the equation 2x+3=9 is x=3
