2x(-4)+3y=5x(-4)-y

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Solution for 2x(-4)+3y=5x(-4)-y equation:


Simplifying
2x(-4) + 3y = 5x(-4) + -1y

Reorder the terms for easier multiplication:
2 * -4x + 3y = 5x(-4) + -1y

Multiply 2 * -4
-8x + 3y = 5x(-4) + -1y

Reorder the terms for easier multiplication:
-8x + 3y = 5 * -4x + -1y

Multiply 5 * -4
-8x + 3y = -20x + -1y

Solving
-8x + 3y = -20x + -1y

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-8x + 20x + 3y = -20x + 20x + -1y

Combine like terms: -8x + 20x = 12x
12x + 3y = -20x + 20x + -1y

Combine like terms: -20x + 20x = 0
12x + 3y = 0 + -1y
12x + 3y = -1y

Add '-3y' to each side of the equation.
12x + 3y + -3y = -1y + -3y

Combine like terms: 3y + -3y = 0
12x + 0 = -1y + -3y
12x = -1y + -3y

Combine like terms: -1y + -3y = -4y
12x = -4y

Divide each side by '12'.
x = -0.3333333333y

Simplifying
x = -0.3333333333y

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