5p-4(p+7)=10

Solution for 5p-4(p+7)=10 equation:

Simplifying
5p + -4(p + 7) = 10

Reorder the terms:
5p + -4(7 + p) = 10
5p + (7 * -4 + p * -4) = 10
5p + (-28 + -4p) = 10

Reorder the terms:
-28 + 5p + -4p = 10

Combine like terms: 5p + -4p = 1p
-28 + 1p = 10

Solving
-28 + 1p = 10

Solving for variable 'p'.

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

Add '28' to each side of the equation.
-28 + 28 + 1p = 10 + 28

Combine like terms: -28 + 28 = 0
0 + 1p = 10 + 28
1p = 10 + 28

Combine like terms: 10 + 28 = 38
1p = 38

Divide each side by '1'.
p = 38

Simplifying
p = 38