Solve for x
x>\frac{34}{25}
Graph
Share
Copied to clipboard
10\left(2x-3\right)+4>10-\left(5x+2\right)
Multiply 2 and 5 to get 10.
20x-30+4>10-\left(5x+2\right)
Use the distributive property to multiply 10 by 2x-3.
20x-26>10-\left(5x+2\right)
Add -30 and 4 to get -26.
20x-26>10-5x-2
To find the opposite of 5x+2, find the opposite of each term.
20x-26>8-5x
Subtract 2 from 10 to get 8.
20x-26+5x>8
Add 5x to both sides.
25x-26>8
Combine 20x and 5x to get 25x.
25x>8+26
Add 26 to both sides.
25x>34
Add 8 and 26 to get 34.
x>\frac{34}{25}
Divide both sides by 25. Since 25 is positive, the inequality direction remains the same.
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}