Solve for x
x = \frac{8}{5} = 1\frac{3}{5} = 1.6
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3x-4=\frac{4}{5}
Divide both sides by 5.
3x=\frac{4}{5}+4
Add 4 to both sides.
3x=\frac{4}{5}+\frac{20}{5}
Convert 4 to fraction \frac{20}{5}.
3x=\frac{4+20}{5}
Since \frac{4}{5} and \frac{20}{5} have the same denominator, add them by adding their numerators.
3x=\frac{24}{5}
Add 4 and 20 to get 24.
x=\frac{\frac{24}{5}}{3}
Divide both sides by 3.
x=\frac{24}{5\times 3}
Express \frac{\frac{24}{5}}{3} as a single fraction.
x=\frac{24}{15}
Multiply 5 and 3 to get 15.
x=\frac{8}{5}
Reduce the fraction \frac{24}{15} to lowest terms by extracting and canceling out 3.
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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}