Solve for x
x = \frac{105}{74} = 1\frac{31}{74} \approx 1.418918919
Graph
Share
Copied to clipboard
7\times 7x-5\times 2x=105-35x
Multiply both sides of the equation by 35, the least common multiple of 5,7.
49x-5\times 2x=105-35x
Multiply 7 and 7 to get 49.
49x-10x=105-35x
Multiply -5 and 2 to get -10.
39x=105-35x
Combine 49x and -10x to get 39x.
39x+35x=105
Add 35x to both sides.
74x=105
Combine 39x and 35x to get 74x.
x=\frac{105}{74}
Divide both sides by 74.
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}