Solve for a
a=2
Share
Copied to clipboard
-24+48a-2\left(6-5a\right)=80
Use the distributive property to multiply -8 by 3-6a.
-24+48a-12+10a=80
Use the distributive property to multiply -2 by 6-5a.
-36+48a+10a=80
Subtract 12 from -24 to get -36.
-36+58a=80
Combine 48a and 10a to get 58a.
58a=80+36
Add 36 to both sides.
58a=116
Add 80 and 36 to get 116.
a=\frac{116}{58}
Divide both sides by 58.
a=2
Divide 116 by 58 to get 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}