3x(-5-7)=4+10x(6n-7y)

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Solution for 3x(-5-7)=4+10x(6n-7y) equation:


Simplifying
3x(-5 + -7) = 4 + 10x(6n + -7y)

Combine like terms: -5 + -7 = -12
3x(-12) = 4 + 10x(6n + -7y)

Reorder the terms for easier multiplication:
3 * -12x = 4 + 10x(6n + -7y)

Multiply 3 * -12
-36x = 4 + 10x(6n + -7y)
-36x = 4 + (6n * 10x + -7y * 10x)
-36x = 4 + (60nx + -70xy)

Solving
-36x = 4 + 60nx + -70xy

Solving for variable 'x'.

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

Add '-60nx' to each side of the equation.
-60nx + -36x = 4 + 60nx + -60nx + -70xy

Combine like terms: 60nx + -60nx = 0
-60nx + -36x = 4 + 0 + -70xy
-60nx + -36x = 4 + -70xy

Add '70xy' to each side of the equation.
-60nx + -36x + 70xy = 4 + -70xy + 70xy

Combine like terms: -70xy + 70xy = 0
-60nx + -36x + 70xy = 4 + 0
-60nx + -36x + 70xy = 4

Reorder the terms:
-4 + -60nx + -36x + 70xy = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -60nx + -36x + 70xy = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -30nx + -18x + 35xy) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + -30nx + -18x + 35xy)' equal to zero and attempt to solve: Simplifying -2 + -30nx + -18x + 35xy = 0 Solving -2 + -30nx + -18x + 35xy = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -30nx + -18x + 2 + 35xy = 0 + 2 Reorder the terms: -2 + 2 + -30nx + -18x + 35xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -30nx + -18x + 35xy = 0 + 2 -30nx + -18x + 35xy = 0 + 2 Combine like terms: 0 + 2 = 2 -30nx + -18x + 35xy = 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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