Solve for t
t=4x+5
Solve for x
x=\frac{t-5}{4}
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t=7x+5-3x
Subtract 3x from both sides.
t=4x+5
Combine 7x and -3x to get 4x.
t+3x-7x=5
Subtract 7x from both sides.
t-4x=5
Combine 3x and -7x to get -4x.
-4x=5-t
Subtract t from both sides.
\frac{-4x}{-4}=\frac{5-t}{-4}
Divide both sides by -4.
x=\frac{5-t}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{t-5}{4}
Divide 5-t by -4.
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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