Solve for t
t=-5
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-2t-4+5t=6t+11
Use the distributive property to multiply -2 by t+2.
3t-4=6t+11
Combine -2t and 5t to get 3t.
3t-4-6t=11
Subtract 6t from both sides.
-3t-4=11
Combine 3t and -6t to get -3t.
-3t=11+4
Add 4 to both sides.
-3t=15
Add 11 and 4 to get 15.
t=\frac{15}{-3}
Divide both sides by -3.
t=-5
Divide 15 by -3 to get -5.
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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