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 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2

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