Answer:
![\boxed {\boxed {\sf -2 \ is \ not \ a \ solution}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/x9i03uykzslejwpn580wlkvbmgxl4gqzhu.png)
Explanation:
We are asked to check is -2 is the solution of the following equation.
![2-x= 4x+3](https://img.qammunity.org/2022/formulas/mathematics/high-school/lwopubfuhhcb4jehvo0gr6mv4yndrp0fiq.png)
We must substitute -2 in for x and solve both sides of the equation. If the two sides are equal, then -2 is the solution.
![2- (-2) = 4(-2)+3](https://img.qammunity.org/2022/formulas/mathematics/high-school/qeu5nnfiljxay00dfvismjnpe12a7zsb3z.png)
Solve both sides of the equation according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Let's start with the left side.
![2+2= 4(-2)+3 \\](https://img.qammunity.org/2022/formulas/mathematics/high-school/grqfkvddrly7yh6vjdqwfwawsm60goexlb.png)
![4= 4(-2)+3](https://img.qammunity.org/2022/formulas/mathematics/high-school/chzw1my2pl16bwkdqoasnlzgbq4gd6b5ud.png)
Now solve the right side. Remember to multiply first.
![4= -8+3](https://img.qammunity.org/2022/formulas/mathematics/high-school/s4a2l3njz2qumk1s6l7jcdxhqxg41x8u62.png)
![4= -5](https://img.qammunity.org/2022/formulas/mathematics/high-school/dakwbqyf46w6maup18dscdyu3lbr1u8ct4.png)
![4\\eq -5](https://img.qammunity.org/2022/formulas/mathematics/high-school/ilfmj52lyj9ibjmxdx6yxlgz42kk5plzu3.png)
4 is not equal to -5, so -2 is not the solution for this equation.