Solve for x
x>2
Graph
Share
Copied to clipboard
32x-48>8x
Use the distributive property to multiply 16 by 2x-3.
32x-48-8x>0
Subtract 8x from both sides.
24x-48>0
Combine 32x and -8x to get 24x.
24x>48
Add 48 to both sides. Anything plus zero gives itself.
x>\frac{48}{24}
Divide both sides by 24. Since 24 is positive, the inequality direction remains the same.
x>2
Divide 48 by 24 to get 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}