4(2n-5)=5n+10

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Solution for 4(2n-5)=5n+10 equation:


Simplifying
4(2n + -5) = 5n + 10

Reorder the terms:
4(-5 + 2n) = 5n + 10
(-5 * 4 + 2n * 4) = 5n + 10
(-20 + 8n) = 5n + 10

Reorder the terms:
-20 + 8n = 10 + 5n

Solving
-20 + 8n = 10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-20 + 8n + -5n = 10 + 5n + -5n

Combine like terms: 8n + -5n = 3n
-20 + 3n = 10 + 5n + -5n

Combine like terms: 5n + -5n = 0
-20 + 3n = 10 + 0
-20 + 3n = 10

Add '20' to each side of the equation.
-20 + 20 + 3n = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 3n = 10 + 20
3n = 10 + 20

Combine like terms: 10 + 20 = 30
3n = 30

Divide each side by '3'.
n = 10

Simplifying
n = 10

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