Solve for a
a=9
Share
Copied to clipboard
12a-24=100-2\left(a-1\right)
Use the distributive property to multiply 4 by 3a-6.
12a-24=100-2a+2
Use the distributive property to multiply -2 by a-1.
12a-24=102-2a
Add 100 and 2 to get 102.
12a-24+2a=102
Add 2a to both sides.
14a-24=102
Combine 12a and 2a to get 14a.
14a=102+24
Add 24 to both sides.
14a=126
Add 102 and 24 to get 126.
a=\frac{126}{14}
Divide both sides by 14.
a=9
Divide 126 by 14 to get 9.
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}