Solve for x
x=2
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12x-18=3+4x-5
Multiply both sides of the equation by 6, the least common multiple of 2,6.
12x-18=-2+4x
Subtract 5 from 3 to get -2.
12x-18-4x=-2
Subtract 4x from both sides.
8x-18=-2
Combine 12x and -4x to get 8x.
8x=-2+18
Add 18 to both sides.
8x=16
Add -2 and 18 to get 16.
x=\frac{16}{8}
Divide both sides by 8.
x=2
Divide 16 by 8 to get 2.
Examples
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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