Answer:
![\boxed {\tt x=3}](https://img.qammunity.org/2021/formulas/mathematics/high-school/2zzbjyfc1ff5hl8qy9x6sxzruj88zvwzx2.png)
Explanation:
We want to solve for x, therefore we must isolate the variable.
We are given the equation:
![(2x)/(3) +1=3](https://img.qammunity.org/2021/formulas/mathematics/college/oalh082799cct3sd1gejvx9uoub8l40tf7.png)
1 is being added to 2x/3. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.
![(2x)/(3)+1-1=3-1](https://img.qammunity.org/2021/formulas/mathematics/college/8oqyuhzb81g120xxkc9gqppd85tyliyu64.png)
![(2x)/(3) =2](https://img.qammunity.org/2021/formulas/mathematics/college/cw25r6y40rb65cdrpzip03zvhuxh0xrpi6.png)
2x is being divided by 3. The inverse of division is multiplication. Multiply both sides by 3.
![3*(2x)/(3) =2*3](https://img.qammunity.org/2021/formulas/mathematics/college/zric436qzydpc3hgwaxry2yra5jb6sr3i4.png)
![2x=2*3](https://img.qammunity.org/2021/formulas/mathematics/college/xcb5ivc2udmwu1kw13mw87q0ab2qkxopjh.png)
![2x=6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6sesyg6t9z5pu68t33pbgi41i56b0t8uwz.png)
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
![(2x)/(2) =(6)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bi6x16slhcivpirklvo74j1va6d95pyuek.png)
![x=(6)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/hvqwe703evj4c12rppt9jseoxfjxfveznk.png)
![x=3](https://img.qammunity.org/2021/formulas/mathematics/college/yzekanmiuar9edsve93wg5dpqbw3650n5b.png)
The solution to the equation is x=3.