Solve the equation

5n + 7=7 (n + 1) - 2n

Step-by-step explanation:

5n + 7 = 7 (n + 1) - 2n

5n + 7 = 7n + 7 - 2n

5n + 7 = 7n + 7 - 2n

- 7 - 7

5n = 7n - 2n

5n = 5n

so n = n

Simplifying

5n + 7 = 7 (n + 1) + 2n

Reorder the terms:

7 + 5n = 7 (n + 1) + 2n

Reorder the terms:

7 + 5n = 7 (1 + n) + 2n

7 + 5n = (1 * 7 + n * 7) + 2n

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

Combine like terms: 7n + 2n = 9n

7 + 5n = 7 + 9n

Add '-7' to each side of the equation.

7 + - 7 + 5n = 7 + - 7 + 9n

Combine like terms: 7 + - 7 = 0

0 + 5n = 7 + - 7 + 9n

5n = 7 + - 7 + 9n

Combine like terms: 7 + - 7 = 0

5n = 0 + 9n

5n = 9n

Solving

5n = 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.

5n + - 9n = 9n + - 9n

Combine like terms: 5n + - 9n = - 4n

-4n = 9n + - 9n

Combine like terms: 9n + - 9n = 0

-4n = 0

Divide each side by '-4'.

n = 0

Simplifying

n = 0