Given:
The equation is:
[tex]4x+1+x+3=-11[/tex]
To find:
The solution for the given equation.
Solution:
We have,
[tex]4x+1+x+3=-11[/tex]
The solution of the given equation with reasons is shown below:
Statement Reason
(1) [tex]4x+x+1+3=-11[/tex] (1) Commutative property of addition
(2) [tex](4+1)x+4=-11[/tex] (2) Distributive property of multiplication under
[tex]5x+4=-11[/tex] addition
(3) [tex]5x+4-4=-11-4[/tex] (3) Subtraction property of equality
[tex]5x=-15[/tex]
(4) [tex]\dfrac{1}{5}\cdot 5x=\dfrac{1}{5}\cdot (-15)[/tex] (4) Multiplication property of equality
[tex]x=-3[/tex]
Therefore, the solution for the given equation is [tex]x=-3[/tex].
