Solve for x
x = \frac{7}{4} = 1\frac{3}{4} = 1.75
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10-5=2\left(2x-1\right)
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-1, the least common multiple of 2x-1,1-2x.
5=2\left(2x-1\right)
Subtract 5 from 10 to get 5.
5=4x-2
Use the distributive property to multiply 2 by 2x-1.
4x-2=5
Swap sides so that all variable terms are on the left hand side.
4x=5+2
Add 2 to both sides.
4x=7
Add 5 and 2 to get 7.
x=\frac{7}{4}
Divide both sides by 4.
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}