2+(5p-4)=11(p-2)

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Solution for 2+(5p-4)=11(p-2) equation:


Simplifying
2 + (5p + -4) = 11(p + -2)

Reorder the terms:
2 + (-4 + 5p) = 11(p + -2)

Remove parenthesis around (-4 + 5p)
2 + -4 + 5p = 11(p + -2)

Combine like terms: 2 + -4 = -2
-2 + 5p = 11(p + -2)

Reorder the terms:
-2 + 5p = 11(-2 + p)
-2 + 5p = (-2 * 11 + p * 11)
-2 + 5p = (-22 + 11p)

Solving
-2 + 5p = -22 + 11p

Solving for variable 'p'.

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

Add '-11p' to each side of the equation.
-2 + 5p + -11p = -22 + 11p + -11p

Combine like terms: 5p + -11p = -6p
-2 + -6p = -22 + 11p + -11p

Combine like terms: 11p + -11p = 0
-2 + -6p = -22 + 0
-2 + -6p = -22

Add '2' to each side of the equation.
-2 + 2 + -6p = -22 + 2

Combine like terms: -2 + 2 = 0
0 + -6p = -22 + 2
-6p = -22 + 2

Combine like terms: -22 + 2 = -20
-6p = -20

Divide each side by '-6'.
p = 3.333333333

Simplifying
p = 3.333333333

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