Solve for a
a=11
Share
Copied to clipboard
2\left(a-1\right)=30-5\left(a-9\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2.
2a-2=30-5\left(a-9\right)
Use the distributive property to multiply 2 by a-1.
2a-2=30-5a+45
Use the distributive property to multiply -5 by a-9.
2a-2=75-5a
Add 30 and 45 to get 75.
2a-2+5a=75
Add 5a to both sides.
7a-2=75
Combine 2a and 5a to get 7a.
7a=75+2
Add 2 to both sides.
7a=77
Add 75 and 2 to get 77.
a=\frac{77}{7}
Divide both sides by 7.
a=11
Divide 77 by 7 to get 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}