Solve for x
x=5
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3\left(x+2\right)=7\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-2\right), the least common multiple of x-2,3.
3x+6=7\left(x-2\right)
Use the distributive property to multiply 3 by x+2.
3x+6=7x-14
Use the distributive property to multiply 7 by x-2.
3x+6-7x=-14
Subtract 7x from both sides.
-4x+6=-14
Combine 3x and -7x to get -4x.
-4x=-14-6
Subtract 6 from both sides.
-4x=-20
Subtract 6 from -14 to get -20.
x=\frac{-20}{-4}
Divide both sides by -4.
x=5
Divide -20 by -4 to get 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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699 * 533
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}