Respuesta :
Answer:
The required answer is shown below:
Step-by-step explanation:
Consider the provided equation.
Statement Reason
1. [tex]5(x+6)=x+38[/tex] Given
2. [tex]\bold{5x+30=x+38}[/tex] Distributive property
3. [tex]5x+30-30=x+38-30[/tex] Subtraction property of equality
4. [tex]\bold{5x=x+8}[/tex] Simplifying
5. [tex]\bold{5x-x=x+8-x}[/tex] Subtraction property of equality
6. [tex]\bold{4x=8}[/tex] Simplifying
7. [tex]\frac{4x}{4}=\frac{8}{4}[/tex] Division property of equality
8. [tex]x=2[/tex] Simplifying
Hence the required answer is shown above.