3(6p-2)+4(1-5p)=p

Solution for 3(6p-2)+4(1-5p)=p equation:

Simplifying
3(6p + -2) + 4(1 + -5p) = p

Reorder the terms:
3(-2 + 6p) + 4(1 + -5p) = p
(-2 * 3 + 6p * 3) + 4(1 + -5p) = p
(-6 + 18p) + 4(1 + -5p) = p
-6 + 18p + (1 * 4 + -5p * 4) = p
-6 + 18p + (4 + -20p) = p

Reorder the terms:
-6 + 4 + 18p + -20p = p

Combine like terms: -6 + 4 = -2
-2 + 18p + -20p = p

Combine like terms: 18p + -20p = -2p
-2 + -2p = p

Solving
-2 + -2p = p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-2 + -2p + -1p = p + -1p

Combine like terms: -2p + -1p = -3p
-2 + -3p = p + -1p

Combine like terms: p + -1p = 0
-2 + -3p = 0

Add '2' to each side of the equation.
-2 + 2 + -3p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3p = 0 + 2
-3p = 0 + 2

Combine like terms: 0 + 2 = 2
-3p = 2

Divide each side by '-3'.
p = -0.6666666667

Simplifying
p = -0.6666666667