Solve for x
x=4
Graph
Share
Copied to clipboard
8x-3x-\left(-5\right)-2x=2\left(x+2\right)+5
To find the opposite of 3x-5, find the opposite of each term.
8x-3x+5-2x=2\left(x+2\right)+5
The opposite of -5 is 5.
5x+5-2x=2\left(x+2\right)+5
Combine 8x and -3x to get 5x.
3x+5=2\left(x+2\right)+5
Combine 5x and -2x to get 3x.
3x+5=2x+4+5
Use the distributive property to multiply 2 by x+2.
3x+5=2x+9
Add 4 and 5 to get 9.
3x+5-2x=9
Subtract 2x from both sides.
x+5=9
Combine 3x and -2x to get x.
x=9-5
Subtract 5 from both sides.
x=4
Subtract 5 from 9 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}