Solve for x
x<\frac{59}{9}
Graph
Share
Copied to clipboard
5\left(x-1\right)+2\left(2x+3\right)<60
Multiply both sides of the equation by 10, the least common multiple of 2,5. Since 10 is positive, the inequality direction remains the same.
5x-5+2\left(2x+3\right)<60
Use the distributive property to multiply 5 by x-1.
5x-5+4x+6<60
Use the distributive property to multiply 2 by 2x+3.
9x-5+6<60
Combine 5x and 4x to get 9x.
9x+1<60
Add -5 and 6 to get 1.
9x<60-1
Subtract 1 from both sides.
9x<59
Subtract 1 from 60 to get 59.
x<\frac{59}{9}
Divide both sides by 9. Since 9 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}