Solve for x
x=3
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2\left(x+2\right)=5\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-1\right), the least common multiple of x-1,2.
2x+4=5\left(x-1\right)
Use the distributive property to multiply 2 by x+2.
2x+4=5x-5
Use the distributive property to multiply 5 by x-1.
2x+4-5x=-5
Subtract 5x from both sides.
-3x+4=-5
Combine 2x and -5x to get -3x.
-3x=-5-4
Subtract 4 from both sides.
-3x=-9
Subtract 4 from -5 to get -9.
x=\frac{-9}{-3}
Divide both sides by -3.
x=3
Divide -9 by -3 to get 3.
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\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]
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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