0.5(2p+1)-(3p+2)=0.75

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Solution for 0.5(2p+1)-(3p+2)=0.75 equation:


Simplifying
0.5(2p + 1) + -1(3p + 2) = 0.75

Reorder the terms:
0.5(1 + 2p) + -1(3p + 2) = 0.75
(1 * 0.5 + 2p * 0.5) + -1(3p + 2) = 0.75
(0.5 + 1p) + -1(3p + 2) = 0.75

Reorder the terms:
0.5 + 1p + -1(2 + 3p) = 0.75
0.5 + 1p + (2 * -1 + 3p * -1) = 0.75
0.5 + 1p + (-2 + -3p) = 0.75

Reorder the terms:
0.5 + -2 + 1p + -3p = 0.75

Combine like terms: 0.5 + -2 = -1.5
-1.5 + 1p + -3p = 0.75

Combine like terms: 1p + -3p = -2p
-1.5 + -2p = 0.75

Solving
-1.5 + -2p = 0.75

Solving for variable 'p'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + -2p = 0.75 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -2p = 0.75 + 1.5
-2p = 0.75 + 1.5

Combine like terms: 0.75 + 1.5 = 2.25
-2p = 2.25

Divide each side by '-2'.
p = -1.125

Simplifying
p = -1.125

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