6(7-2p)=3(5p-4)

Solution for 6(7-2p)=3(5p-4) equation:

Simplifying
6(7 + -2p) = 3(5p + -4)
(7 * 6 + -2p * 6) = 3(5p + -4)
(42 + -12p) = 3(5p + -4)

Reorder the terms:
42 + -12p = 3(-4 + 5p)
42 + -12p = (-4 * 3 + 5p * 3)
42 + -12p = (-12 + 15p)

Solving
42 + -12p = -12 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
42 + -12p + -15p = -12 + 15p + -15p

Combine like terms: -12p + -15p = -27p
42 + -27p = -12 + 15p + -15p

Combine like terms: 15p + -15p = 0
42 + -27p = -12 + 0
42 + -27p = -12

Add '-42' to each side of the equation.
42 + -42 + -27p = -12 + -42

Combine like terms: 42 + -42 = 0
0 + -27p = -12 + -42
-27p = -12 + -42

Combine like terms: -12 + -42 = -54
-27p = -54

Divide each side by '-27'.
p = 2

Simplifying
p = 2