Solve for x
x=-\frac{1}{7}\approx -0.142857143
Graph
Share
Copied to clipboard
3\left(3-x\right)=2\left(5+2x\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of 2x,3x.
9-3x=2\left(5+2x\right)
Use the distributive property to multiply 3 by 3-x.
9-3x=10+4x
Use the distributive property to multiply 2 by 5+2x.
9-3x-4x=10
Subtract 4x from both sides.
9-7x=10
Combine -3x and -4x to get -7x.
-7x=10-9
Subtract 9 from both sides.
-7x=1
Subtract 9 from 10 to get 1.
x=\frac{1}{-7}
Divide both sides by -7.
x=-\frac{1}{7}
Fraction \frac{1}{-7} can be rewritten as -\frac{1}{7} by extracting the negative sign.
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}