21n+22=3(4-7n)+10

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Solution for 21n+22=3(4-7n)+10 equation: 


Simplifying
21n + 22 = 3(4 + -7n) + 10

Reorder the terms:
22 + 21n = 3(4 + -7n) + 10
22 + 21n = (4 * 3 + -7n * 3) + 10
22 + 21n = (12 + -21n) + 10

Reorder the terms:
22 + 21n = 12 + 10 + -21n

Combine like terms: 12 + 10 = 22
22 + 21n = 22 + -21n

Add '-22' to each side of the equation.
22 + -22 + 21n = 22 + -22 + -21n

Combine like terms: 22 + -22 = 0
0 + 21n = 22 + -22 + -21n
21n = 22 + -22 + -21n

Combine like terms: 22 + -22 = 0
21n = 0 + -21n
21n = -21n

Solving
21n = -21n

Solving for variable 'n'.

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

Add '21n' to each side of the equation.
21n + 21n = -21n + 21n

Combine like terms: 21n + 21n = 42n
42n = -21n + 21n

Combine like terms: -21n + 21n = 0
42n = 0

Divide each side by '42'.
n = 0

Simplifying
n = 0

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