Solve for a
a=6
Share
Copied to clipboard
54-\left(18a-18\right)+6a=0
Use the distributive property to multiply 6a-6 by 3.
54-18a-\left(-18\right)+6a=0
To find the opposite of 18a-18, find the opposite of each term.
54-18a+18+6a=0
The opposite of -18 is 18.
72-18a+6a=0
Add 54 and 18 to get 72.
72-12a=0
Combine -18a and 6a to get -12a.
-12a=-72
Subtract 72 from both sides. Anything subtracted from zero gives its negation.
a=\frac{-72}{-12}
Divide both sides by -12.
a=6
Divide -72 by -12 to get 6.
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}