Solve for x
x=-4
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6=2+\left(x+5\right)\times 4
Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by x+5.
6=2+4x+20
Use the distributive property to multiply x+5 by 4.
6=22+4x
Add 2 and 20 to get 22.
22+4x=6
Swap sides so that all variable terms are on the left hand side.
4x=6-22
Subtract 22 from both sides.
4x=-16
Subtract 22 from 6 to get -16.
x=\frac{-16}{4}
Divide both sides by 4.
x=-4
Divide -16 by 4 to get -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
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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
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Limits
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