Solve for x
x = -\frac{7}{2} = -3\frac{1}{2} = -3.5
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5x-1=2\left(x-4\right)+x
Add -4 and 3 to get -1.
5x-1=2x-8+x
Use the distributive property to multiply 2 by x-4.
5x-1=3x-8
Combine 2x and x to get 3x.
5x-1-3x=-8
Subtract 3x from both sides.
2x-1=-8
Combine 5x and -3x to get 2x.
2x=-8+1
Add 1 to both sides.
2x=-7
Add -8 and 1 to get -7.
x=\frac{-7}{2}
Divide both sides by 2.
x=-\frac{7}{2}
Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.
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}