Solve for x
x=1
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\frac{5}{2x}=\frac{\frac{5}{2}}{1}
Divide both sides by 1.
\frac{5}{2x}=\frac{5}{2\times 1}
Express \frac{\frac{5}{2}}{1} as a single fraction.
\frac{5}{2x}=\frac{5}{2}
Multiply 2 and 1 to get 2.
5=5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2x,2.
5x=5
Swap sides so that all variable terms are on the left hand side.
x=\frac{5}{5}
Divide both sides by 5.
x=1
Divide 5 by 5 to get 1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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
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