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iris [78.8K]
3 years ago
6

What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?

Mathematics
2 answers:
rjkz [21]3 years ago
6 0
\frac{1}{2} (n - 4) - 3 = 3 - (2n + 3)  \\\\  \frac{1}{2}n - 2 - 3 = 3 -2n - 3 \\\\    \frac{1}{2}n - 5 = -2n  \\  \\  \frac{1}{2}n+2n=5 \\  \\ 2 \frac{1}{2}  n=5 \\  \\ n=5: 2\frac{1}{2} = 5 \cdot  \frac{2}{5}  \\\\  \boxed{n= 2}
Nikolay [14]3 years ago
6 0
1/2(n - 4) - 3 = 3 - (2n + 3)
Distribute the 1/2 and the negative sign.
1/2n - 2 - 3 = 3 + (-2n) - 3
Subtract the -2 and 3
1/2n - 5 = 3 + (-2n) - 3
Add the 3's
1/2n - 5 = -2n
Add 2n to both sides
5/2n − 5 = 0
Add 5 to both sides
5/2n = 5
Multiply both sides by 2/5

n = 2
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