3xp-1=5(x-1)-2(7-2x)

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Solution for 3xp-1=5(x-1)-2(7-2x) equation:


Simplifying
3xp + -1 = 5(x + -1) + -2(7 + -2x)

Reorder the terms:
-1 + 3px = 5(x + -1) + -2(7 + -2x)

Reorder the terms:
-1 + 3px = 5(-1 + x) + -2(7 + -2x)
-1 + 3px = (-1 * 5 + x * 5) + -2(7 + -2x)
-1 + 3px = (-5 + 5x) + -2(7 + -2x)
-1 + 3px = -5 + 5x + (7 * -2 + -2x * -2)
-1 + 3px = -5 + 5x + (-14 + 4x)

Reorder the terms:
-1 + 3px = -5 + -14 + 5x + 4x

Combine like terms: -5 + -14 = -19
-1 + 3px = -19 + 5x + 4x

Combine like terms: 5x + 4x = 9x
-1 + 3px = -19 + 9x

Solving
-1 + 3px = -19 + 9x

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 + 1 + 3px = -19 + 1 + 9x

Combine like terms: -1 + 1 = 0
0 + 3px = -19 + 1 + 9x
3px = -19 + 1 + 9x

Combine like terms: -19 + 1 = -18
3px = -18 + 9x

Divide each side by '3x'.
p = -6x-1 + 3

Simplifying
p = -6x-1 + 3

Reorder the terms:
p = 3 + -6x-1

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