Solve for x
x = \frac{8}{5} = 1\frac{3}{5} = 1.6
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2=\left(3x-4\right)\times 2+2-x
Variable x cannot be equal to \frac{4}{3} since division by zero is not defined. Multiply both sides of the equation by 3x-4, the least common multiple of 3x-4,4-3x.
2=6x-8+2-x
Use the distributive property to multiply 3x-4 by 2.
2=6x-6-x
Add -8 and 2 to get -6.
2=5x-6
Combine 6x and -x to get 5x.
5x-6=2
Swap sides so that all variable terms are on the left hand side.
5x=2+6
Add 6 to both sides.
5x=8
Add 2 and 6 to get 8.
x=\frac{8}{5}
Divide both sides by 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}