Solve for x
x = \frac{6}{5} = 1\frac{1}{5} = 1.2
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28-\left(x-2\right)=24x
Multiply both sides of the equation by 4.
28-x-\left(-2\right)=24x
To find the opposite of x-2, find the opposite of each term.
28-x+2=24x
The opposite of -2 is 2.
30-x=24x
Add 28 and 2 to get 30.
30-x-24x=0
Subtract 24x from both sides.
30-25x=0
Combine -x and -24x to get -25x.
-25x=-30
Subtract 30 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-30}{-25}
Divide both sides by -25.
x=\frac{6}{5}
Reduce the fraction \frac{-30}{-25} 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}