2x+9=2(x-n)

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Solution for 2x+9=2(x-n) equation:


Simplifying
2x + 9 = 2(x + -1n)

Reorder the terms:
9 + 2x = 2(x + -1n)

Reorder the terms:
9 + 2x = 2(-1n + x)
9 + 2x = (-1n * 2 + x * 2)
9 + 2x = (-2n + 2x)

Add '-2x' to each side of the equation.
9 + 2x + -2x = -2n + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 0 = -2n + 2x + -2x
9 = -2n + 2x + -2x

Combine like terms: 2x + -2x = 0
9 = -2n + 0
9 = -2n

Solving
9 = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
9 + 2n = -2n + 2n

Combine like terms: -2n + 2n = 0
9 + 2n = 0

Add '-9' to each side of the equation.
9 + -9 + 2n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2n = 0 + -9
2n = 0 + -9

Combine like terms: 0 + -9 = -9
2n = -9

Divide each side by '2'.
n = -4.5

Simplifying
n = -4.5

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