3n+10=5n+4

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Solution for 3n+10=5n+4 equation:


Simplifying
3n + 10 = 5n + 4

Reorder the terms:
10 + 3n = 5n + 4

Reorder the terms:
10 + 3n = 4 + 5n

Solving
10 + 3n = 4 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
10 + 3n + -5n = 4 + 5n + -5n

Combine like terms: 3n + -5n = -2n
10 + -2n = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
10 + -2n = 4 + 0
10 + -2n = 4

Add '-10' to each side of the equation.
10 + -10 + -2n = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -2n = 4 + -10
-2n = 4 + -10

Combine like terms: 4 + -10 = -6
-2n = -6

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

Simplifying
n = 3

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