Solve for x
x>-\frac{3}{10}
Graph
Share
Copied to clipboard
20-7-\left(-2x\right)>2\left(5-4x\right)
To find the opposite of 7-2x, find the opposite of each term.
20-7+2x>2\left(5-4x\right)
The opposite of -2x is 2x.
13+2x>2\left(5-4x\right)
Subtract 7 from 20 to get 13.
13+2x>10-8x
Use the distributive property to multiply 2 by 5-4x.
13+2x+8x>10
Add 8x to both sides.
13+10x>10
Combine 2x and 8x to get 10x.
10x>10-13
Subtract 13 from both sides.
10x>-3
Subtract 13 from 10 to get -3.
x>-\frac{3}{10}
Divide both sides by 10. Since 10 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}