2n+1*2=3n+5n-10

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Solution for 2n+1*2=3n+5n-10 equation: 


Simplifying
2n + 1 * 2 = 3n + 5n + -10

Multiply 1 * 2
2n + 2 = 3n + 5n + -10

Reorder the terms:
2 + 2n = 3n + 5n + -10

Reorder the terms:
2 + 2n = -10 + 3n + 5n

Combine like terms: 3n + 5n = 8n
2 + 2n = -10 + 8n

Solving
2 + 2n = -10 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
2 + 2n + -8n = -10 + 8n + -8n

Combine like terms: 2n + -8n = -6n
2 + -6n = -10 + 8n + -8n

Combine like terms: 8n + -8n = 0
2 + -6n = -10 + 0
2 + -6n = -10

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

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

Combine like terms: -10 + -2 = -12
-6n = -12

Divide each side by '-6'.
n = 2

Simplifying
n = 2

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