Solve for x
x=23
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\left(x+5\right)\times 3=\left(x-2\right)\times 4
Variable x cannot be equal to any of the values -5,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+5\right), the least common multiple of x-2,x+5.
3x+15=\left(x-2\right)\times 4
Use the distributive property to multiply x+5 by 3.
3x+15=4x-8
Use the distributive property to multiply x-2 by 4.
3x+15-4x=-8
Subtract 4x from both sides.
-x+15=-8
Combine 3x and -4x to get -x.
-x=-8-15
Subtract 15 from both sides.
-x=-23
Subtract 15 from -8 to get -23.
x=23
Multiply both sides by -1.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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