Solve for a
a=5
Share
Copied to clipboard
7\left(a+3\right)=4\left(2a-3\right)+28
Multiply both sides of the equation by 28, the least common multiple of 4,7.
7a+21=4\left(2a-3\right)+28
Use the distributive property to multiply 7 by a+3.
7a+21=8a-12+28
Use the distributive property to multiply 4 by 2a-3.
7a+21=8a+16
Add -12 and 28 to get 16.
7a+21-8a=16
Subtract 8a from both sides.
-a+21=16
Combine 7a and -8a to get -a.
-a=16-21
Subtract 21 from both sides.
-a=-5
Subtract 21 from 16 to get -5.
a=5
Multiply both sides by -1.
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}