2n+5=4(n+2)-3

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Solution for 2n+5=4(n+2)-3 equation:


Simplifying
2n + 5 = 4(n + 2) + -3

Reorder the terms:
5 + 2n = 4(n + 2) + -3

Reorder the terms:
5 + 2n = 4(2 + n) + -3
5 + 2n = (2 * 4 + n * 4) + -3
5 + 2n = (8 + 4n) + -3

Reorder the terms:
5 + 2n = 8 + -3 + 4n

Combine like terms: 8 + -3 = 5
5 + 2n = 5 + 4n

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

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

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

Solving
2n = 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.
2n + -4n = 4n + -4n

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

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

Divide each side by '-2'.
n = 0

Simplifying
n = 0

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