Solve for x
x=-1
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2x+9+4\left(3x+1\right)=x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4x,x,4.
2x+9+12x+4=x
Use the distributive property to multiply 4 by 3x+1.
14x+9+4=x
Combine 2x and 12x to get 14x.
14x+13=x
Add 9 and 4 to get 13.
14x+13-x=0
Subtract x from both sides.
13x+13=0
Combine 14x and -x to get 13x.
13x=-13
Subtract 13 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-13}{13}
Divide both sides by 13.
x=-1
Divide -13 by 13 to get -1.
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
Arithmetic
699 * 533
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}