Solve for a
a=6
Share
Copied to clipboard
4\left(a-5\right)=a-2
Multiply both sides of the equation by 48, the least common multiple of 12,48.
4a-20=a-2
Use the distributive property to multiply 4 by a-5.
4a-20-a=-2
Subtract a from both sides.
3a-20=-2
Combine 4a and -a to get 3a.
3a=-2+20
Add 20 to both sides.
3a=18
Add -2 and 20 to get 18.
a=\frac{18}{3}
Divide both sides by 3.
a=6
Divide 18 by 3 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}