Solve for x
x = -\frac{7}{4} = -1\frac{3}{4} = -1.75
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6x+1=2\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3.
6x+1=2x-6
Use the distributive property to multiply 2 by x-3.
6x+1-2x=-6
Subtract 2x from both sides.
4x+1=-6
Combine 6x and -2x to get 4x.
4x=-6-1
Subtract 1 from both sides.
4x=-7
Subtract 1 from -6 to get -7.
x=\frac{-7}{4}
Divide both sides by 4.
x=-\frac{7}{4}
Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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