Solve for x
x\leq 4
Graph
Share
Copied to clipboard
5\left(2x+1\right)\leq 3\left(3x-2\right)+15
Multiply both sides of the equation by 15, the least common multiple of 3,5. Since 15 is positive, the inequality direction remains the same.
10x+5\leq 3\left(3x-2\right)+15
Use the distributive property to multiply 5 by 2x+1.
10x+5\leq 9x-6+15
Use the distributive property to multiply 3 by 3x-2.
10x+5\leq 9x+9
Add -6 and 15 to get 9.
10x+5-9x\leq 9
Subtract 9x from both sides.
x+5\leq 9
Combine 10x and -9x to get x.
x\leq 9-5
Subtract 5 from both sides.
x\leq 4
Subtract 5 from 9 to get 4.
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}