2(x-5)=9n-3(n-3)

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Solution for 2(x-5)=9n-3(n-3) equation:


Simplifying
2(x + -5) = 9n + -3(n + -3)

Reorder the terms:
2(-5 + x) = 9n + -3(n + -3)
(-5 * 2 + x * 2) = 9n + -3(n + -3)
(-10 + 2x) = 9n + -3(n + -3)

Reorder the terms:
-10 + 2x = 9n + -3(-3 + n)
-10 + 2x = 9n + (-3 * -3 + n * -3)
-10 + 2x = 9n + (9 + -3n)

Reorder the terms:
-10 + 2x = 9 + 9n + -3n

Combine like terms: 9n + -3n = 6n
-10 + 2x = 9 + 6n

Solving
-10 + 2x = 9 + 6n

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 9 + 10 + 6n

Combine like terms: -10 + 10 = 0
0 + 2x = 9 + 10 + 6n
2x = 9 + 10 + 6n

Combine like terms: 9 + 10 = 19
2x = 19 + 6n

Divide each side by '2'.
x = 9.5 + 3n

Simplifying
x = 9.5 + 3n

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