4.5p+14.2=5.8(p+2)

Solution for 4.5p+14.2=5.8(p+2) equation:

Simplifying
4.5p + 14.2 = 5.8(p + 2)

Reorder the terms:
14.2 + 4.5p = 5.8(p + 2)

Reorder the terms:
14.2 + 4.5p = 5.8(2 + p)
14.2 + 4.5p = (2 * 5.8 + p * 5.8)
14.2 + 4.5p = (11.6 + 5.8p)

Solving
14.2 + 4.5p = 11.6 + 5.8p

Solving for variable 'p'.

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

Add '-5.8p' to each side of the equation.
14.2 + 4.5p + -5.8p = 11.6 + 5.8p + -5.8p

Combine like terms: 4.5p + -5.8p = -1.3p
14.2 + -1.3p = 11.6 + 5.8p + -5.8p

Combine like terms: 5.8p + -5.8p = 0.0
14.2 + -1.3p = 11.6 + 0.0
14.2 + -1.3p = 11.6

Add '-14.2' to each side of the equation.
14.2 + -14.2 + -1.3p = 11.6 + -14.2

Combine like terms: 14.2 + -14.2 = 0.0
0.0 + -1.3p = 11.6 + -14.2
-1.3p = 11.6 + -14.2

Combine like terms: 11.6 + -14.2 = -2.6
-1.3p = -2.6

Divide each side by '-1.3'.
p = 2

Simplifying
p = 2