Solve for a
a=-1
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4a+3+10=3-6a
Multiply both sides of the equation by 2.
4a+13=3-6a
Add 3 and 10 to get 13.
4a+13+6a=3
Add 6a to both sides.
10a+13=3
Combine 4a and 6a to get 10a.
10a=3-13
Subtract 13 from both sides.
10a=-10
Subtract 13 from 3 to get -10.
a=\frac{-10}{10}
Divide both sides by 10.
a=-1
Divide -10 by 10 to get -1.
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
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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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