Solve for p
p = \frac{9}{2} = 4\frac{1}{2} = 4.5
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6-3p-\left(-2\right)=p-10
To find the opposite of 3p-2, find the opposite of each term.
6-3p+2=p-10
The opposite of -2 is 2.
8-3p=p-10
Add 6 and 2 to get 8.
8-3p-p=-10
Subtract p from both sides.
8-4p=-10
Combine -3p and -p to get -4p.
-4p=-10-8
Subtract 8 from both sides.
-4p=-18
Subtract 8 from -10 to get -18.
p=\frac{-18}{-4}
Divide both sides by -4.
p=\frac{9}{2}
Reduce the fraction \frac{-18}{-4} to lowest terms by extracting and canceling out -2.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}