Solve for x
x=-8
Graph
Share
Copied to clipboard
5x-3=4x-14-2-\left(x+3\right)
Use the distributive property to multiply 2 by 2x-7.
5x-3=4x-16-\left(x+3\right)
Subtract 2 from -14 to get -16.
5x-3=4x-16-x-3
To find the opposite of x+3, find the opposite of each term.
5x-3=3x-16-3
Combine 4x and -x to get 3x.
5x-3=3x-19
Subtract 3 from -16 to get -19.
5x-3-3x=-19
Subtract 3x from both sides.
2x-3=-19
Combine 5x and -3x to get 2x.
2x=-19+3
Add 3 to both sides.
2x=-16
Add -19 and 3 to get -16.
x=\frac{-16}{2}
Divide both sides by 2.
x=-8
Divide -16 by 2 to get -8.
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}