Solve for x
x=-2.5625
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31=14-8x-3.5
To find the opposite of 8x+3.5, find the opposite of each term.
31=10.5-8x
Subtract 3.5 from 14 to get 10.5.
10.5-8x=31
Swap sides so that all variable terms are on the left hand side.
-8x=31-10.5
Subtract 10.5 from both sides.
-8x=20.5
Subtract 10.5 from 31 to get 20.5.
x=\frac{20.5}{-8}
Divide both sides by -8.
x=\frac{205}{-80}
Expand \frac{20.5}{-8} by multiplying both numerator and the denominator by 10.
x=-\frac{41}{16}
Reduce the fraction \frac{205}{-80} to lowest terms by extracting and canceling out 5.
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
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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
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