Solve for a
a=-4
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2a+5-5a=17
Subtract 5a from both sides.
-3a+5=17
Combine 2a and -5a to get -3a.
-3a=17-5
Subtract 5 from both sides.
-3a=12
Subtract 5 from 17 to get 12.
a=\frac{12}{-3}
Divide both sides by -3.
a=-4
Divide 12 by -3 to get -4.
Examples
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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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