4(3n-13)+42=5(n+5)

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Solution for 4(3n-13)+42=5(n+5) equation:


Simplifying
4(3n + -13) + 42 = 5(n + 5)

Reorder the terms:
4(-13 + 3n) + 42 = 5(n + 5)
(-13 * 4 + 3n * 4) + 42 = 5(n + 5)
(-52 + 12n) + 42 = 5(n + 5)

Reorder the terms:
-52 + 42 + 12n = 5(n + 5)

Combine like terms: -52 + 42 = -10
-10 + 12n = 5(n + 5)

Reorder the terms:
-10 + 12n = 5(5 + n)
-10 + 12n = (5 * 5 + n * 5)
-10 + 12n = (25 + 5n)

Solving
-10 + 12n = 25 + 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 + 12n + -5n = 25 + 5n + -5n

Combine like terms: 12n + -5n = 7n
-10 + 7n = 25 + 5n + -5n

Combine like terms: 5n + -5n = 0
-10 + 7n = 25 + 0
-10 + 7n = 25

Add '10' to each side of the equation.
-10 + 10 + 7n = 25 + 10

Combine like terms: -10 + 10 = 0
0 + 7n = 25 + 10
7n = 25 + 10

Combine like terms: 25 + 10 = 35
7n = 35

Divide each side by '7'.
n = 5

Simplifying
n = 5

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