Solve for x
x=\frac{1}{7}\approx 0.142857143
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14x-3x-\left(-2\right)-\left(5x+2-\left(x-1\right)\right)=0
To find the opposite of 3x-2, find the opposite of each term.
14x-3x+2-\left(5x+2-\left(x-1\right)\right)=0
The opposite of -2 is 2.
11x+2-\left(5x+2-\left(x-1\right)\right)=0
Combine 14x and -3x to get 11x.
11x+2-\left(5x+2-x-\left(-1\right)\right)=0
To find the opposite of x-1, find the opposite of each term.
11x+2-\left(5x+2-x+1\right)=0
The opposite of -1 is 1.
11x+2-\left(4x+2+1\right)=0
Combine 5x and -x to get 4x.
11x+2-\left(4x+3\right)=0
Add 2 and 1 to get 3.
11x+2-4x-3=0
To find the opposite of 4x+3, find the opposite of each term.
7x+2-3=0
Combine 11x and -4x to get 7x.
7x-1=0
Subtract 3 from 2 to get -1.
7x=1
Add 1 to both sides. Anything plus zero gives itself.
x=\frac{1}{7}
Divide both sides by 7.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}