0.7p+4.6=8.3-0.2p

Solution for 0.7p+4.6=8.3-0.2p equation:

Simplifying
0.7p + 4.6 = 8.3 + -0.2p

Reorder the terms:
4.6 + 0.7p = 8.3 + -0.2p

Solving
4.6 + 0.7p = 8.3 + -0.2p

Solving for variable 'p'.

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

Add '0.2p' to each side of the equation.
4.6 + 0.7p + 0.2p = 8.3 + -0.2p + 0.2p

Combine like terms: 0.7p + 0.2p = 0.9p
4.6 + 0.9p = 8.3 + -0.2p + 0.2p

Combine like terms: -0.2p + 0.2p = 0.0
4.6 + 0.9p = 8.3 + 0.0
4.6 + 0.9p = 8.3

Add '-4.6' to each side of the equation.
4.6 + -4.6 + 0.9p = 8.3 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + 0.9p = 8.3 + -4.6
0.9p = 8.3 + -4.6

Combine like terms: 8.3 + -4.6 = 3.7
0.9p = 3.7

Divide each side by '0.9'.
p = 4.111111111

Simplifying
p = 4.111111111