Solve for a
a=10
Share
Copied to clipboard
\left(a+2\right)\times 3-\left(2a-2\right)=2\times 9
Variable a cannot be equal to any of the values -2,1 since division by zero is not defined. Multiply both sides of the equation by 2\left(a-1\right)\left(a+2\right), the least common multiple of 2a-2,a+2,a^{2}+a-2.
3a+6-\left(2a-2\right)=2\times 9
Use the distributive property to multiply a+2 by 3.
3a+6-2a+2=2\times 9
To find the opposite of 2a-2, find the opposite of each term.
a+6+2=2\times 9
Combine 3a and -2a to get a.
a+8=2\times 9
Add 6 and 2 to get 8.
a+8=18
Multiply 2 and 9 to get 18.
a=18-8
Subtract 8 from both sides.
a=10
Subtract 8 from 18 to get 10.
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}