Solve for x
x = -\frac{70}{47} = -1\frac{23}{47} \approx -1.489361702
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7\left(11x+5\right)=7\left(6x-7\right)+7\left(6x-7\right)\left(-\frac{2}{7}\right)
Variable x cannot be equal to \frac{7}{6} since division by zero is not defined. Multiply both sides of the equation by 7\left(6x-7\right), the least common multiple of 6x-7,7.
77x+35=7\left(6x-7\right)+7\left(6x-7\right)\left(-\frac{2}{7}\right)
Use the distributive property to multiply 7 by 11x+5.
77x+35=42x-49+7\left(6x-7\right)\left(-\frac{2}{7}\right)
Use the distributive property to multiply 7 by 6x-7.
77x+35=42x-49-2\left(6x-7\right)
Multiply 7 and -\frac{2}{7} to get -2.
77x+35=42x-49-12x+14
Use the distributive property to multiply -2 by 6x-7.
77x+35=30x-49+14
Combine 42x and -12x to get 30x.
77x+35=30x-35
Add -49 and 14 to get -35.
77x+35-30x=-35
Subtract 30x from both sides.
47x+35=-35
Combine 77x and -30x to get 47x.
47x=-35-35
Subtract 35 from both sides.
47x=-70
Subtract 35 from -35 to get -70.
x=\frac{-70}{47}
Divide both sides by 47.
x=-\frac{70}{47}
Fraction \frac{-70}{47} can be rewritten as -\frac{70}{47} by extracting the negative sign.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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