Solve for a
a = \frac{32}{11} = 2\frac{10}{11} \approx 2.909090909
Share
Copied to clipboard
3a+8\left(a+5\right)=72
Multiply both sides of the equation by 12, the least common multiple of 4,3.
3a+8a+40=72
Use the distributive property to multiply 8 by a+5.
11a+40=72
Combine 3a and 8a to get 11a.
11a=72-40
Subtract 40 from both sides.
11a=32
Subtract 40 from 72 to get 32.
a=\frac{32}{11}
Divide both sides by 11.
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}