Solve for x
x = \frac{83}{11} = 7\frac{6}{11} \approx 7.545454545
Graph
Share
Copied to clipboard
3\left(2x-1\right)=60-5\left(x-4\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
6x-3=60-5\left(x-4\right)
Use the distributive property to multiply 3 by 2x-1.
6x-3=60-5x+20
Use the distributive property to multiply -5 by x-4.
6x-3=80-5x
Add 60 and 20 to get 80.
6x-3+5x=80
Add 5x to both sides.
11x-3=80
Combine 6x and 5x to get 11x.
11x=80+3
Add 3 to both sides.
11x=83
Add 80 and 3 to get 83.
x=\frac{83}{11}
Divide both sides by 11.
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}