2n-7=5n-10

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Solution for 2n-7=5n-10 equation:


Simplifying
2n + -7 = 5n + -10

Reorder the terms:
-7 + 2n = 5n + -10

Reorder the terms:
-7 + 2n = -10 + 5n

Solving
-7 + 2n = -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.
-7 + 2n + -5n = -10 + 5n + -5n

Combine like terms: 2n + -5n = -3n
-7 + -3n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
-7 + -3n = -10 + 0
-7 + -3n = -10

Add '7' to each side of the equation.
-7 + 7 + -3n = -10 + 7

Combine like terms: -7 + 7 = 0
0 + -3n = -10 + 7
-3n = -10 + 7

Combine like terms: -10 + 7 = -3
-3n = -3

Divide each side by '-3'.
n = 1

Simplifying
n = 1

 

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