2(n)+1=4(n)-5

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Solution for 2(n)+1=4(n)-5 equation:


Simplifying
2(n) + 1 = 4(n) + -5

Reorder the terms:
1 + 2n = 4(n) + -5

Reorder the terms:
1 + 2n = -5 + 4n

Solving
1 + 2n = -5 + 4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-4n' to each side of the equation.
1 + 2n + -4n = -5 + 4n + -4n

Combine like terms: 2n + -4n = -2n
1 + -2n = -5 + 4n + -4n

Combine like terms: 4n + -4n = 0
1 + -2n = -5 + 0
1 + -2n = -5

Add '-1' to each side of the equation.
1 + -1 + -2n = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = -5 + -1
-2n = -5 + -1

Combine like terms: -5 + -1 = -6
-2n = -6

Divide each side by '-2'.
n = 3

Simplifying
n = 3

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