4[2n-5]=3n+10

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Solution for 4[2n-5]=3n+10 equation:


Simplifying
4[2n + -5] = 3n + 10

Reorder the terms:
4[-5 + 2n] = 3n + 10
[-5 * 4 + 2n * 4] = 3n + 10
[-20 + 8n] = 3n + 10

Reorder the terms:
-20 + 8n = 10 + 3n

Solving
-20 + 8n = 10 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-20 + 8n + -3n = 10 + 3n + -3n

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

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

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

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

Combine like terms: 10 + 20 = 30
5n = 30

Divide each side by '5'.
n = 6

Simplifying
n = 6

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