Solve for x
x = -\frac{9}{2} = -4\frac{1}{2} = -4.5
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-4x+8=-2\left(x-\frac{17}{2}\right)
Use the distributive property to multiply -4 by x-2.
-4x+8=-2x-2\left(-\frac{17}{2}\right)
Use the distributive property to multiply -2 by x-\frac{17}{2}.
-4x+8=-2x+17
Multiply -2 times -\frac{17}{2}.
-4x+8+2x=17
Add 2x to both sides.
-2x+8=17
Combine -4x and 2x to get -2x.
-2x=17-8
Subtract 8 from both sides.
-2x=9
Subtract 8 from 17 to get 9.
x=\frac{9}{-2}
Divide both sides by -2.
x=-\frac{9}{2}
Fraction \frac{9}{-2} can be rewritten as -\frac{9}{2} by extracting the negative sign.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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