Solve for x
x = -\frac{5}{2} = -2\frac{1}{2} = -2.5
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\left(x+1\right)\times 5=x\times 3
Variable x cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+1\right), the least common multiple of x,x+1.
5x+5=x\times 3
Use the distributive property to multiply x+1 by 5.
5x+5-x\times 3=0
Subtract x\times 3 from both sides.
2x+5=0
Combine 5x and -x\times 3 to get 2x.
2x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-5}{2}
Divide both sides by 2.
x=-\frac{5}{2}
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}