Answer:
[tex] \large \boxed{x = 7}[/tex]
Step-by-step explanation:
Goal
Given
[tex]2x + 5 = 19[/tex]
Step 1
- Isolate x by subtracting 5 both sides.
[tex]2x + 5 - 5 = 19 - 5 \\ 2x + 0 = 14 \\ 2x = 14[/tex]
Step 2
- Divide both sides by 2 to make only x-term as our subject.
[tex] \frac{2}{2} x = \frac{14}{2} \\ \frac{1}{1} x = 7 \\ 1x = 7 \\ x = 7[/tex]
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.
[tex]2x + 5 = 19[/tex]
Substitute x = 7 in the equation.
[tex]2(7) + 5 = 19 \\ 14 + 5 = 19 \\ 19 = 19[/tex]
The equation is true for x = 7. Hence, the answer is x = 7.
