Solve for x
x = \frac{15}{4} = 3\frac{3}{4} = 3.75
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3\left(x+5\right)=7x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.
3x+15=7x
Use the distributive property to multiply 3 by x+5.
3x+15-7x=0
Subtract 7x from both sides.
-4x+15=0
Combine 3x and -7x to get -4x.
-4x=-15
Subtract 15 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-15}{-4}
Divide both sides by -4.
x=\frac{15}{4}
Fraction \frac{-15}{-4} can be simplified to \frac{15}{4} by removing the negative sign from both the numerator and the denominator.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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