Solve for x
x = \frac{12}{5} = 2\frac{2}{5} = 2.4
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-6x+21=-\left(x+3\right)+5x
Use the distributive property to multiply -3 by 2x-7.
-6x+21=-x-3+5x
To find the opposite of x+3, find the opposite of each term.
-6x+21=4x-3
Combine -x and 5x to get 4x.
-6x+21-4x=-3
Subtract 4x from both sides.
-10x+21=-3
Combine -6x and -4x to get -10x.
-10x=-3-21
Subtract 21 from both sides.
-10x=-24
Subtract 21 from -3 to get -24.
x=\frac{-24}{-10}
Divide both sides by -10.
x=\frac{12}{5}
Reduce the fraction \frac{-24}{-10} to lowest terms by extracting and canceling out -2.
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}