Respuesta :
Distribute 1/2 to (n – 4):
[tex]\frac{1}{2} \times n = \frac{1}{2}n[/tex]
[tex]\frac{1}{2} \times -4 = -2[/tex]
Subtract (2n + 3):
[tex]- (2n + 3) = -2n -3[/tex]
Your equation should now look like this:
[tex]\frac{1}{2}n - 2 - 3 = 3 - 2n - 3[/tex]
Combine like terms on both sides:
[tex]-2 - 3 = -5[/tex]
[tex]3 - 3 = 0[/tex]
[tex]\frac{1}{2}n - 5 = -2n[/tex]
Subtract 1/2n from both sides:
[tex]-5 = -\frac{5}{2}n[/tex]
Divide both sides by -5/2 to get n by itself:
[tex]n = 2[/tex]
The value of n is 2.
[tex]\frac{1}{2} \times n = \frac{1}{2}n[/tex]
[tex]\frac{1}{2} \times -4 = -2[/tex]
Subtract (2n + 3):
[tex]- (2n + 3) = -2n -3[/tex]
Your equation should now look like this:
[tex]\frac{1}{2}n - 2 - 3 = 3 - 2n - 3[/tex]
Combine like terms on both sides:
[tex]-2 - 3 = -5[/tex]
[tex]3 - 3 = 0[/tex]
[tex]\frac{1}{2}n - 5 = -2n[/tex]
Subtract 1/2n from both sides:
[tex]-5 = -\frac{5}{2}n[/tex]
Divide both sides by -5/2 to get n by itself:
[tex]n = 2[/tex]
The value of n is 2.
[tex]\dfrac{1}{2}(n-4)-3=3-(2n+3)\\\\\\\dfrac{1}{2}(n-4)-3=3-2n-3\\\\\\\dfrac{1}{2}(n-4)-3=-2n\qquad|\cdot2\\\\\\n-4-6=-4n\\\\n-10=-4n\qquad|+10\\\\n-10+10=-4n+10\\\\n=-4n+10\qquad|+4n\\\\n+4n=-4n+4n+10\\\\5n=10\qquad|:5\\\\\boxed{n=2}[/tex]