7-3x(y-2)=19

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Solution for 7-3x(y-2)=19 equation:


Simplifying
7 + -3x(y + -2) = 19

Reorder the terms:
7 + -3x(-2 + y) = 19
7 + (-2 * -3x + y * -3x) = 19
7 + (6x + -3xy) = 19

Solving
7 + 6x + -3xy = 19

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + 6x + -7 + -3xy = 19 + -7

Reorder the terms:
7 + -7 + 6x + -3xy = 19 + -7

Combine like terms: 7 + -7 = 0
0 + 6x + -3xy = 19 + -7
6x + -3xy = 19 + -7

Combine like terms: 19 + -7 = 12
6x + -3xy = 12

Reorder the terms:
-12 + 6x + -3xy = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 6x + -3xy = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 2x + -1xy) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + 2x + -1xy)' equal to zero and attempt to solve: Simplifying -4 + 2x + -1xy = 0 Solving -4 + 2x + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2x + 4 + -1xy = 0 + 4 Reorder the terms: -4 + 4 + 2x + -1xy = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x + -1xy = 0 + 4 2x + -1xy = 0 + 4 Combine like terms: 0 + 4 = 4 2x + -1xy = 4 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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