Solve for x
x=-\frac{5}{38}\approx -0.131578947
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2x-5\left(3x+1\right)=20x+5x
Multiply both sides of the equation by 10, the least common multiple of 5,2.
2x-15x-5=20x+5x
Use the distributive property to multiply -5 by 3x+1.
-13x-5=20x+5x
Combine 2x and -15x to get -13x.
-13x-5=25x
Combine 20x and 5x to get 25x.
-13x-5-25x=0
Subtract 25x from both sides.
-38x-5=0
Combine -13x and -25x to get -38x.
-38x=5
Add 5 to both sides. Anything plus zero gives itself.
x=\frac{5}{-38}
Divide both sides by -38.
x=-\frac{5}{38}
Fraction \frac{5}{-38} can be rewritten as -\frac{5}{38} by extracting the negative sign.
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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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