Solve for x
x=\frac{9}{13}\approx 0.692307692
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2x-2-3x+3=4\left(3x-2\right)
Use the distributive property to multiply -3 by x-1.
-x-2+3=4\left(3x-2\right)
Combine 2x and -3x to get -x.
-x+1=4\left(3x-2\right)
Add -2 and 3 to get 1.
-x+1=12x-8
Use the distributive property to multiply 4 by 3x-2.
-x+1-12x=-8
Subtract 12x from both sides.
-13x+1=-8
Combine -x and -12x to get -13x.
-13x=-8-1
Subtract 1 from both sides.
-13x=-9
Subtract 1 from -8 to get -9.
x=\frac{-9}{-13}
Divide both sides by -13.
x=\frac{9}{13}
Fraction \frac{-9}{-13} can be simplified to \frac{9}{13} by removing the negative sign from both the numerator and the denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}