Solve for x
x=4
Graph
Share
Copied to clipboard
13-4x+6=5-\left(x-2\right)
Use the distributive property to multiply -2 by 2x-3.
19-4x=5-\left(x-2\right)
Add 13 and 6 to get 19.
19-4x=5-x-\left(-2\right)
To find the opposite of x-2, find the opposite of each term.
19-4x=5-x+2
The opposite of -2 is 2.
19-4x=7-x
Add 5 and 2 to get 7.
19-4x+x=7
Add x to both sides.
19-3x=7
Combine -4x and x to get -3x.
-3x=7-19
Subtract 19 from both sides.
-3x=-12
Subtract 19 from 7 to get -12.
x=\frac{-12}{-3}
Divide both sides by -3.
x=4
Divide -12 by -3 to get 4.
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}