Solve for x
x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667
Graph
Share
Copied to clipboard
\frac{3}{2}x-2.5=0
Subtract 1 from -1.5 to get -2.5.
\frac{3}{2}x=2.5
Add 2.5 to both sides. Anything plus zero gives itself.
x=2.5\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{5}{2}\times \frac{2}{3}
Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.
x=\frac{5\times 2}{2\times 3}
Multiply \frac{5}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{5}{3}
Cancel out 2 in both numerator and denominator.
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}