-5(5p+2)-37=3(3p+7)

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Solution for -5(5p+2)-37=3(3p+7) equation:


Simplifying
-5(5p + 2) + -37 = 3(3p + 7)

Reorder the terms:
-5(2 + 5p) + -37 = 3(3p + 7)
(2 * -5 + 5p * -5) + -37 = 3(3p + 7)
(-10 + -25p) + -37 = 3(3p + 7)

Reorder the terms:
-10 + -37 + -25p = 3(3p + 7)

Combine like terms: -10 + -37 = -47
-47 + -25p = 3(3p + 7)

Reorder the terms:
-47 + -25p = 3(7 + 3p)
-47 + -25p = (7 * 3 + 3p * 3)
-47 + -25p = (21 + 9p)

Solving
-47 + -25p = 21 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-47 + -25p + -9p = 21 + 9p + -9p

Combine like terms: -25p + -9p = -34p
-47 + -34p = 21 + 9p + -9p

Combine like terms: 9p + -9p = 0
-47 + -34p = 21 + 0
-47 + -34p = 21

Add '47' to each side of the equation.
-47 + 47 + -34p = 21 + 47

Combine like terms: -47 + 47 = 0
0 + -34p = 21 + 47
-34p = 21 + 47

Combine like terms: 21 + 47 = 68
-34p = 68

Divide each side by '-34'.
p = -2

Simplifying
p = -2

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