5(n+2)=7n+4

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Solution for 5(n+2)=7n+4 equation:


Simplifying
5(n + 2) = 7n + 4

Reorder the terms:
5(2 + n) = 7n + 4
(2 * 5 + n * 5) = 7n + 4
(10 + 5n) = 7n + 4

Reorder the terms:
10 + 5n = 4 + 7n

Solving
10 + 5n = 4 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
10 + 5n + -7n = 4 + 7n + -7n

Combine like terms: 5n + -7n = -2n
10 + -2n = 4 + 7n + -7n

Combine like terms: 7n + -7n = 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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