Solve for x
x = -\frac{7}{2} = -3\frac{1}{2} = -3.5
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\left(x+1\right)\times 5-\left(x-2\right)\times 3=4
Variable x cannot be equal to any of the values -1,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+1\right), the least common multiple of x-2,x+1,\left(x-2\right)\left(x+1\right).
5x+5-\left(x-2\right)\times 3=4
Use the distributive property to multiply x+1 by 5.
5x+5-\left(3x-6\right)=4
Use the distributive property to multiply x-2 by 3.
5x+5-3x+6=4
To find the opposite of 3x-6, find the opposite of each term.
2x+5+6=4
Combine 5x and -3x to get 2x.
2x+11=4
Add 5 and 6 to get 11.
2x=4-11
Subtract 11 from both sides.
2x=-7
Subtract 11 from 4 to get -7.
x=\frac{-7}{2}
Divide both sides by 2.
x=-\frac{7}{2}
Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.
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Integration
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Limits
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