(2p-3)x+3y+1=0

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Solution for (2p-3)x+3y+1=0 equation:


Simplifying
(2p + -3) * x + 3y + 1 = 0

Reorder the terms:
(-3 + 2p) * x + 3y + 1 = 0

Reorder the terms for easier multiplication:
x(-3 + 2p) + 3y + 1 = 0
(-3 * x + 2p * x) + 3y + 1 = 0

Reorder the terms:
(2px + -3x) + 3y + 1 = 0
(2px + -3x) + 3y + 1 = 0

Reorder the terms:
1 + 2px + -3x + 3y = 0

Solving
1 + 2px + -3x + 3y = 0

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + 2px + -3x + -1 + 3y = 0 + -1

Reorder the terms:
1 + -1 + 2px + -3x + 3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2px + -3x + 3y = 0 + -1
2px + -3x + 3y = 0 + -1

Combine like terms: 0 + -1 = -1
2px + -3x + 3y = -1

Add '3x' to each side of the equation.
2px + -3x + 3x + 3y = -1 + 3x

Combine like terms: -3x + 3x = 0
2px + 0 + 3y = -1 + 3x
2px + 3y = -1 + 3x

Add '-3y' to each side of the equation.
2px + 3y + -3y = -1 + 3x + -3y

Combine like terms: 3y + -3y = 0
2px + 0 = -1 + 3x + -3y
2px = -1 + 3x + -3y

Divide each side by '2x'.
p = -0.5x-1 + 1.5 + -1.5x-1y

Simplifying
p = -0.5x-1 + 1.5 + -1.5x-1y

Reorder the terms:
p = 1.5 + -0.5x-1 + -1.5x-1y

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