0.2(p-6)=0.4(p+14)

Solution for 0.2(p-6)=0.4(p+14) equation:

Simplifying
0.2(p + -6) = 0.4(p + 14)

Reorder the terms:
0.2(-6 + p) = 0.4(p + 14)
(-6 * 0.2 + p * 0.2) = 0.4(p + 14)
(-1.2 + 0.2p) = 0.4(p + 14)

Reorder the terms:
-1.2 + 0.2p = 0.4(14 + p)
-1.2 + 0.2p = (14 * 0.4 + p * 0.4)
-1.2 + 0.2p = (5.6 + 0.4p)

Solving
-1.2 + 0.2p = 5.6 + 0.4p

Solving for variable 'p'.

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

Add '-0.4p' to each side of the equation.
-1.2 + 0.2p + -0.4p = 5.6 + 0.4p + -0.4p

Combine like terms: 0.2p + -0.4p = -0.2p
-1.2 + -0.2p = 5.6 + 0.4p + -0.4p

Combine like terms: 0.4p + -0.4p = 0.0
-1.2 + -0.2p = 5.6 + 0.0
-1.2 + -0.2p = 5.6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.2p = 5.6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.2p = 5.6 + 1.2
-0.2p = 5.6 + 1.2

Combine like terms: 5.6 + 1.2 = 6.8
-0.2p = 6.8

Divide each side by '-0.2'.
p = -34

Simplifying
p = -34