Solve for a
a=-x
Solve for x
x=-a
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9x+2a+3a=4x
Add 3a to both sides.
9x+5a=4x
Combine 2a and 3a to get 5a.
5a=4x-9x
Subtract 9x from both sides.
5a=-5x
Combine 4x and -9x to get -5x.
\frac{5a}{5}=-\frac{5x}{5}
Divide both sides by 5.
a=-\frac{5x}{5}
Dividing by 5 undoes the multiplication by 5.
a=-x
Divide -5x by 5.
9x+2a-4x=-3a
Subtract 4x from both sides.
5x+2a=-3a
Combine 9x and -4x to get 5x.
5x=-3a-2a
Subtract 2a from both sides.
5x=-5a
Combine -3a and -2a to get -5a.
\frac{5x}{5}=-\frac{5a}{5}
Divide both sides by 5.
x=-\frac{5a}{5}
Dividing by 5 undoes the multiplication by 5.
x=-a
Divide -5a by 5.
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}