Solve for x
x=-1
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3\left(x-3\right)=2\left(x-5\right)
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-5\right), the least common multiple of x-5,3.
3x-9=2\left(x-5\right)
Use the distributive property to multiply 3 by x-3.
3x-9=2x-10
Use the distributive property to multiply 2 by x-5.
3x-9-2x=-10
Subtract 2x from both sides.
x-9=-10
Combine 3x and -2x to get x.
x=-10+9
Add 9 to both sides.
x=-1
Add -10 and 9 to get -1.
Examples
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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.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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