Solve for x
x = \frac{176}{15} = 11\frac{11}{15} \approx 11.733333333
Graph
Share
Copied to clipboard
\frac{15}{2}x-34=54
Combine \frac{1}{2}x and 7x to get \frac{15}{2}x.
\frac{15}{2}x=54+34
Add 34 to both sides.
\frac{15}{2}x=88
Add 54 and 34 to get 88.
x=88\times \frac{2}{15}
Multiply both sides by \frac{2}{15}, the reciprocal of \frac{15}{2}.
x=\frac{88\times 2}{15}
Express 88\times \frac{2}{15} as a single fraction.
x=\frac{176}{15}
Multiply 88 and 2 to get 176.
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}