4(p-1)+5(p+1)=10

Solution for 4(p-1)+5(p+1)=10 equation:

Simplifying
4(p + -1) + 5(p + 1) = 10

Reorder the terms:
4(-1 + p) + 5(p + 1) = 10
(-1 * 4 + p * 4) + 5(p + 1) = 10
(-4 + 4p) + 5(p + 1) = 10

Reorder the terms:
-4 + 4p + 5(1 + p) = 10
-4 + 4p + (1 * 5 + p * 5) = 10
-4 + 4p + (5 + 5p) = 10

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

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

Combine like terms: 4p + 5p = 9p
1 + 9p = 10

Solving
1 + 9p = 10

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 + 9p = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 9p = 10 + -1
9p = 10 + -1

Combine like terms: 10 + -1 = 9
9p = 9

Divide each side by '9'.
p = 1

Simplifying
p = 1