Solve for x
x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333
Graph
Share
Copied to clipboard
10=2\left(x+3\right)-5x
Multiply both sides of the equation by 10, the least common multiple of 5,2.
10=2x+6-5x
Use the distributive property to multiply 2 by x+3.
10=-3x+6
Combine 2x and -5x to get -3x.
-3x+6=10
Swap sides so that all variable terms are on the left hand side.
-3x=10-6
Subtract 6 from both sides.
-3x=4
Subtract 6 from 10 to get 4.
x=\frac{4}{-3}
Divide both sides by -3.
x=-\frac{4}{3}
Fraction \frac{4}{-3} can be rewritten as -\frac{4}{3} 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}