![\large\tt Step-by-step~explanation:](https://img.qammunity.org/2021/formulas/mathematics/high-school/29l9ao1x4x368ecz9umef05ldftnbomy6k.png)
To solve for x, we have to isolate the variable.
![\tt Step~1:](https://img.qammunity.org/2021/formulas/mathematics/high-school/td6u35j3gyzkyxq2z12ex68fup5boe9d1z.png)
First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.
![\tt 3*x=3x\\3*-2=-6\\3x-6=18](https://img.qammunity.org/2021/formulas/mathematics/high-school/i6kfm5h90g3ctf7lhwxschymdefddh0u5j.png)
![\tt Step~2:](https://img.qammunity.org/2021/formulas/mathematics/high-school/42ystigthi5jraeckxqu1502a0bp41zkf4.png)
Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.
![\tt 3x-6(+6)=18(+6)\\3x=24](https://img.qammunity.org/2021/formulas/mathematics/high-school/c0z4xlocvrqiqtgzg2ukqicw9khqhhhtl1.png)
![\tt Step~3:](https://img.qammunity.org/2021/formulas/mathematics/high-school/kzruw8vgkxq6egm586l6dq1nvmb5gemz22.png)
Finally, we divide both sides by 3 to isolate x and get our answer.
![\tt (3x)/(3)=x\\(24)/(3)=8\\x=8](https://img.qammunity.org/2021/formulas/mathematics/high-school/ys21fs7i3rfqedsuhiwm2b7gj1q3ejuucs.png)
![\large\boxed{\tt Our~final~answer: ~x=8}](https://img.qammunity.org/2021/formulas/mathematics/high-school/o6jwwfnqqd5madv062awpdg9u21acqga7k.png)