Solve for x
x=-\frac{2}{9}\approx -0.222222222
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2\left(6x+1\right)=3x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of 3x,2.
12x+2=3x
Use the distributive property to multiply 2 by 6x+1.
12x+2-3x=0
Subtract 3x from both sides.
9x+2=0
Combine 12x and -3x to get 9x.
9x=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2}{9}
Divide both sides by 9.
x=-\frac{2}{9}
Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.
Examples
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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
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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