10-3(2p+1)=-6(3p+p)

Solution for 10-3(2p+1)=-6(3p+p) equation:

Simplifying
10 + -3(2p + 1) = -6(3p + p)

Reorder the terms:
10 + -3(1 + 2p) = -6(3p + p)
10 + (1 * -3 + 2p * -3) = -6(3p + p)
10 + (-3 + -6p) = -6(3p + p)

Combine like terms: 10 + -3 = 7
7 + -6p = -6(3p + p)

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

Remove parenthesis around (4p)
7 + -6p = -6 * 4p

Multiply -6 * 4
7 + -6p = -24p

Solving
7 + -6p = -24p

Solving for variable 'p'.

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

Add '24p' to each side of the equation.
7 + -6p + 24p = -24p + 24p

Combine like terms: -6p + 24p = 18p
7 + 18p = -24p + 24p

Combine like terms: -24p + 24p = 0
7 + 18p = 0

Add '-7' to each side of the equation.
7 + -7 + 18p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 18p = 0 + -7
18p = 0 + -7

Combine like terms: 0 + -7 = -7
18p = -7

Divide each side by '18'.
p = -0.3888888889

Simplifying
p = -0.3888888889