Solve for x
x\geq \frac{8}{3}
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2\left(3x-1\right)+3x-3\geq 19
Multiply both sides of the equation by 8, the least common multiple of 4,8. Since 8 is positive, the inequality direction remains the same.
6x-2+3x-3\geq 19
Use the distributive property to multiply 2 by 3x-1.
9x-2-3\geq 19
Combine 6x and 3x to get 9x.
9x-5\geq 19
Subtract 3 from -2 to get -5.
9x\geq 19+5
Add 5 to both sides.
9x\geq 24
Add 19 and 5 to get 24.
x\geq \frac{24}{9}
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
x\geq \frac{8}{3}
Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.
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}