Solve for x
x=\frac{5}{7}\approx 0.714285714
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2-2x-\left(-3\right)=1+5\left(x-\frac{1}{5}\right)
To find the opposite of 2x-3, find the opposite of each term.
2-2x+3=1+5\left(x-\frac{1}{5}\right)
The opposite of -3 is 3.
5-2x=1+5\left(x-\frac{1}{5}\right)
Add 2 and 3 to get 5.
5-2x=1+5x+5\left(-\frac{1}{5}\right)
Use the distributive property to multiply 5 by x-\frac{1}{5}.
5-2x=1+5x-1
Cancel out 5 and 5.
5-2x=5x
Subtract 1 from 1 to get 0.
5-2x-5x=0
Subtract 5x from both sides.
5-7x=0
Combine -2x and -5x to get -7x.
-7x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-5}{-7}
Divide both sides by -7.
x=\frac{5}{7}
Fraction \frac{-5}{-7} can be simplified to \frac{5}{7} by removing the negative sign from both the numerator and the 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}