5.1p+10.69=8(p+4.2)

Solution for 5.1p+10.69=8(p+4.2) equation:

Simplifying
5.1p + 10.69 = 8(p + 4.2)

Reorder the terms:
10.69 + 5.1p = 8(p + 4.2)

Reorder the terms:
10.69 + 5.1p = 8(4.2 + p)
10.69 + 5.1p = (4.2 * 8 + p * 8)
10.69 + 5.1p = (33.6 + 8p)

Solving
10.69 + 5.1p = 33.6 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
10.69 + 5.1p + -8p = 33.6 + 8p + -8p

Combine like terms: 5.1p + -8p = -2.9p
10.69 + -2.9p = 33.6 + 8p + -8p

Combine like terms: 8p + -8p = 0
10.69 + -2.9p = 33.6 + 0
10.69 + -2.9p = 33.6

Add '-10.69' to each side of the equation.
10.69 + -10.69 + -2.9p = 33.6 + -10.69

Combine like terms: 10.69 + -10.69 = 0.00
0.00 + -2.9p = 33.6 + -10.69
-2.9p = 33.6 + -10.69

Combine like terms: 33.6 + -10.69 = 22.91
-2.9p = 22.91

Divide each side by '-2.9'.
p = -7.9

Simplifying
p = -7.9