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]\frac{2x}{3} +1=3[/tex]
1 is being added to 2x/3. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.
[tex]\frac{2x}{3}+1-1=3-1[/tex]
[tex]\frac{2x}{3} =2[/tex]
2x is being divided by 3. The inverse of division is multiplication. Multiply both sides by 3.
[tex]3*\frac{2x}{3} =2*3[/tex]
[tex]2x=2*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]
The solution to the equation is x=3.
