Solve for x
x=-3
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3\left(x-2\right)=5x
Multiply both sides of the equation by 15, the least common multiple of 5,3.
3x-6=5x
Use the distributive property to multiply 3 by x-2.
3x-6-5x=0
Subtract 5x from both sides.
-2x-6=0
Combine 3x and -5x to get -2x.
-2x=6
Add 6 to both sides. Anything plus zero gives itself.
x=\frac{6}{-2}
Divide both sides by -2.
x=-3
Divide 6 by -2 to get -3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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