Solve for x
x=14
Graph
Share
Copied to clipboard
2x-5-\left(-3x\right)-2\left(x-4\right)=x-\left(11-3x\right)
To find the opposite of 5-3x, find the opposite of each term.
2x-5+3x-2\left(x-4\right)=x-\left(11-3x\right)
The opposite of -3x is 3x.
5x-5-2\left(x-4\right)=x-\left(11-3x\right)
Combine 2x and 3x to get 5x.
5x-5-2x+8=x-\left(11-3x\right)
Use the distributive property to multiply -2 by x-4.
3x-5+8=x-\left(11-3x\right)
Combine 5x and -2x to get 3x.
3x+3=x-\left(11-3x\right)
Add -5 and 8 to get 3.
3x+3=x-11-\left(-3x\right)
To find the opposite of 11-3x, find the opposite of each term.
3x+3=x-11+3x
The opposite of -3x is 3x.
3x+3=4x-11
Combine x and 3x to get 4x.
3x+3-4x=-11
Subtract 4x from both sides.
-x+3=-11
Combine 3x and -4x to get -x.
-x=-11-3
Subtract 3 from both sides.
-x=-14
Subtract 3 from -11 to get -14.
x=14
Multiply both sides by -1.
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}