4(p-5)=5(p-35)

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Solution for 4(p-5)=5(p-35) equation:


Simplifying
4(p + -5) = 5(p + -35)

Reorder the terms:
4(-5 + p) = 5(p + -35)
(-5 * 4 + p * 4) = 5(p + -35)
(-20 + 4p) = 5(p + -35)

Reorder the terms:
-20 + 4p = 5(-35 + p)
-20 + 4p = (-35 * 5 + p * 5)
-20 + 4p = (-175 + 5p)

Solving
-20 + 4p = -175 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-20 + 4p + -5p = -175 + 5p + -5p

Combine like terms: 4p + -5p = -1p
-20 + -1p = -175 + 5p + -5p

Combine like terms: 5p + -5p = 0
-20 + -1p = -175 + 0
-20 + -1p = -175

Add '20' to each side of the equation.
-20 + 20 + -1p = -175 + 20

Combine like terms: -20 + 20 = 0
0 + -1p = -175 + 20
-1p = -175 + 20

Combine like terms: -175 + 20 = -155
-1p = -155

Divide each side by '-1'.
p = 155

Simplifying
p = 155

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