Solve for x
x=13
Graph
Share
Copied to clipboard
3\left(x-3\right)+105=5\left(2x+1\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
3x-9+105=5\left(2x+1\right)
Use the distributive property to multiply 3 by x-3.
3x+96=5\left(2x+1\right)
Add -9 and 105 to get 96.
3x+96=10x+5
Use the distributive property to multiply 5 by 2x+1.
3x+96-10x=5
Subtract 10x from both sides.
-7x+96=5
Combine 3x and -10x to get -7x.
-7x=5-96
Subtract 96 from both sides.
-7x=-91
Subtract 96 from 5 to get -91.
x=\frac{-91}{-7}
Divide both sides by -7.
x=13
Divide -91 by -7 to get 13.
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}