2(5xn)+5(6-n)=40

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Solution for 2(5xn)+5(6-n)=40 equation:


Simplifying
2(5xn) + 5(6 + -1n) = 40

Remove parenthesis around (5nx)
2 * 5nx + 5(6 + -1n) = 40

Multiply 2 * 5
10nx + 5(6 + -1n) = 40
10nx + (6 * 5 + -1n * 5) = 40
10nx + (30 + -5n) = 40

Reorder the terms:
30 + -5n + 10nx = 40

Solving
30 + -5n + 10nx = 40

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -5n + -30 + 10nx = 40 + -30

Reorder the terms:
30 + -30 + -5n + 10nx = 40 + -30

Combine like terms: 30 + -30 = 0
0 + -5n + 10nx = 40 + -30
-5n + 10nx = 40 + -30

Combine like terms: 40 + -30 = 10
-5n + 10nx = 10

Reorder the terms:
-10 + -5n + 10nx = 10 + -10

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

Factor out the Greatest Common Factor (GCF), '5'.
5(-2 + -1n + 2nx) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-2 + -1n + 2nx)' equal to zero and attempt to solve: Simplifying -2 + -1n + 2nx = 0 Solving -2 + -1n + 2nx = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1n + 2 + 2nx = 0 + 2 Reorder the terms: -2 + 2 + -1n + 2nx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1n + 2nx = 0 + 2 -1n + 2nx = 0 + 2 Combine like terms: 0 + 2 = 2 -1n + 2nx = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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