Solve for x
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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5-2x-\left(4x-5\right)\times 2=0
Variable x cannot be equal to any of the values -\frac{5}{4},\frac{5}{4} since division by zero is not defined. Multiply both sides of the equation by \left(4x-5\right)\left(4x+5\right), the least common multiple of 16x^{2}-25,4x+5.
5-2x-\left(8x-10\right)=0
Use the distributive property to multiply 4x-5 by 2.
5-2x-8x+10=0
To find the opposite of 8x-10, find the opposite of each term.
5-10x+10=0
Combine -2x and -8x to get -10x.
15-10x=0
Add 5 and 10 to get 15.
-10x=-15
Subtract 15 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-15}{-10}
Divide both sides by -10.
x=\frac{3}{2}
Reduce the fraction \frac{-15}{-10} to lowest terms by extracting and canceling out -5.
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}