Solve for x
x = -\frac{5}{4} = -1\frac{1}{4} = -1.25
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2x-3=2\left(3x+1\right)
Variable x cannot be equal to -\frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 3x+1.
2x-3=6x+2
Use the distributive property to multiply 2 by 3x+1.
2x-3-6x=2
Subtract 6x from both sides.
-4x-3=2
Combine 2x and -6x to get -4x.
-4x=2+3
Add 3 to both sides.
-4x=5
Add 2 and 3 to get 5.
x=\frac{5}{-4}
Divide both sides by -4.
x=-\frac{5}{4}
Fraction \frac{5}{-4} can be rewritten as -\frac{5}{4} by extracting the negative sign.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}