Answer:
![\large \boxed{x = 7}](https://img.qammunity.org/2022/formulas/mathematics/high-school/4yixzkjj3x2cjso5ud7al50euxpbuy1k4t.png)
Explanation:
Goal
Given
![2x + 5 = 19](https://img.qammunity.org/2022/formulas/mathematics/high-school/ebhv87gitsvxloxup3z2rlsi63sxbmzmw6.png)
Step 1
- Isolate x by subtracting 5 both sides.
![2x + 5 - 5 = 19 - 5 \\ 2x + 0 = 14 \\ 2x = 14](https://img.qammunity.org/2022/formulas/mathematics/high-school/53bjnumkaagveoiuncrdy4j1m3wdoj9fkq.png)
Step 2
- Divide both sides by 2 to make only x-term as our subject.
![(2)/(2) x = (14)/(2) \\ (1)/(1) x = 7 \\ 1x = 7 \\ x = 7](https://img.qammunity.org/2022/formulas/mathematics/high-school/wwb84pjpppnjg7igwta8xi9thchbjohopp.png)
Step 3 (Optional)
- If you are not sure that the answer is correct or not, we can check the answer by substituting x = 7 in the equation.
![2x + 5 = 19](https://img.qammunity.org/2022/formulas/mathematics/high-school/ebhv87gitsvxloxup3z2rlsi63sxbmzmw6.png)
Substitute x = 7 in the equation.
![2(7) + 5 = 19 \\ 14 + 5 = 19 \\ 19 = 19](https://img.qammunity.org/2022/formulas/mathematics/high-school/m7k3qqi5zpunf0bn320be2ney9dm2i13wh.png)
The equation is true for x = 7. Hence, the answer is x = 7.