2n-5(n-3)=2(n-10)

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Solution for 2n-5(n-3)=2(n-10) equation: 


Simplifying
2n + -5(n + -3) = 2(n + -10)

Reorder the terms:
2n + -5(-3 + n) = 2(n + -10)
2n + (-3 * -5 + n * -5) = 2(n + -10)
2n + (15 + -5n) = 2(n + -10)

Reorder the terms:
15 + 2n + -5n = 2(n + -10)

Combine like terms: 2n + -5n = -3n
15 + -3n = 2(n + -10)

Reorder the terms:
15 + -3n = 2(-10 + n)
15 + -3n = (-10 * 2 + n * 2)
15 + -3n = (-20 + 2n)

Solving
15 + -3n = -20 + 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.
15 + -3n + -2n = -20 + 2n + -2n

Combine like terms: -3n + -2n = -5n
15 + -5n = -20 + 2n + -2n

Combine like terms: 2n + -2n = 0
15 + -5n = -20 + 0
15 + -5n = -20

Add '-15' to each side of the equation.
15 + -15 + -5n = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -5n = -20 + -15
-5n = -20 + -15

Combine like terms: -20 + -15 = -35
-5n = -35

Divide each side by '-5'.
n = 7

Simplifying
n = 7

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