Solve for x
x=3
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2x\times 4=\left(x+5\right)\times 3
Variable x cannot be equal to any of the values -5,0 since division by zero is not defined. Multiply both sides of the equation by 2x\left(x+5\right), the least common multiple of x+5,2x.
8x=\left(x+5\right)\times 3
Multiply 2 and 4 to get 8.
8x=3x+15
Use the distributive property to multiply x+5 by 3.
8x-3x=15
Subtract 3x from both sides.
5x=15
Combine 8x and -3x to get 5x.
x=\frac{15}{5}
Divide both sides by 5.
x=3
Divide 15 by 5 to get 3.
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y = 3x + 4
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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