Solve for x
x=10
Graph
Quiz
Linear Equation
5 problems similar to:
\frac{ x }{ 4 } + \frac{ 9x }{ 4 } + \frac{ 3x }{ 2 } =x+30
Share
Copied to clipboard
x+9x+2\times 3x=4x+120
Multiply both sides of the equation by 4, the least common multiple of 4,2.
10x+2\times 3x=4x+120
Combine x and 9x to get 10x.
10x+6x=4x+120
Multiply 2 and 3 to get 6.
16x=4x+120
Combine 10x and 6x to get 16x.
16x-4x=120
Subtract 4x from both sides.
12x=120
Combine 16x and -4x to get 12x.
x=\frac{120}{12}
Divide both sides by 12.
x=10
Divide 120 by 12 to get 10.
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}