0.2(p-1)-0.5(3p+2)=0.7p

Solution for 0.2(p-1)-0.5(3p+2)=0.7p equation:

Simplifying
0.2(p + -1) + -0.5(3p + 2) = 0.7p

Reorder the terms:
0.2(-1 + p) + -0.5(3p + 2) = 0.7p
(-1 * 0.2 + p * 0.2) + -0.5(3p + 2) = 0.7p
(-0.2 + 0.2p) + -0.5(3p + 2) = 0.7p

Reorder the terms:
-0.2 + 0.2p + -0.5(2 + 3p) = 0.7p
-0.2 + 0.2p + (2 * -0.5 + 3p * -0.5) = 0.7p
-0.2 + 0.2p + (-1 + -1.5p) = 0.7p

Reorder the terms:
-0.2 + -1 + 0.2p + -1.5p = 0.7p

Combine like terms: -0.2 + -1 = -1.2
-1.2 + 0.2p + -1.5p = 0.7p

Combine like terms: 0.2p + -1.5p = -1.3p
-1.2 + -1.3p = 0.7p

Solving
-1.2 + -1.3p = 0.7p

Solving for variable 'p'.

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

Add '-0.7p' to each side of the equation.
-1.2 + -1.3p + -0.7p = 0.7p + -0.7p

Combine like terms: -1.3p + -0.7p = -2p
-1.2 + -2p = 0.7p + -0.7p

Combine like terms: 0.7p + -0.7p = 0.0
-1.2 + -2p = 0.0

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -2p = 0.0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -2p = 0.0 + 1.2
-2p = 0.0 + 1.2

Combine like terms: 0.0 + 1.2 = 1.2
-2p = 1.2

Divide each side by '-2'.
p = -0.6

Simplifying
p = -0.6