4-(2p+3)=7p+2(p+6)

Solution for 4-(2p+3)=7p+2(p+6) equation:

Simplifying
4 + -1(2p + 3) = 7p + 2(p + 6)

Reorder the terms:
4 + -1(3 + 2p) = 7p + 2(p + 6)
4 + (3 * -1 + 2p * -1) = 7p + 2(p + 6)
4 + (-3 + -2p) = 7p + 2(p + 6)

Combine like terms: 4 + -3 = 1
1 + -2p = 7p + 2(p + 6)

Reorder the terms:
1 + -2p = 7p + 2(6 + p)
1 + -2p = 7p + (6 * 2 + p * 2)
1 + -2p = 7p + (12 + 2p)

Reorder the terms:
1 + -2p = 12 + 7p + 2p

Combine like terms: 7p + 2p = 9p
1 + -2p = 12 + 9p

Solving
1 + -2p = 12 + 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.
1 + -2p + -9p = 12 + 9p + -9p

Combine like terms: -2p + -9p = -11p
1 + -11p = 12 + 9p + -9p

Combine like terms: 9p + -9p = 0
1 + -11p = 12 + 0
1 + -11p = 12

Add '-1' to each side of the equation.
1 + -1 + -11p = 12 + -1

Combine like terms: 1 + -1 = 0
0 + -11p = 12 + -1
-11p = 12 + -1

Combine like terms: 12 + -1 = 11
-11p = 11

Divide each side by '-11'.
p = -1

Simplifying
p = -1