Solve for x
x = -\frac{10}{3} = -3\frac{1}{3} \approx -3.333333333
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2\left(x-6\right)-3\left(x-4\right)=2\left(x+5\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x-12-3\left(x-4\right)=2\left(x+5\right)
Use the distributive property to multiply 2 by x-6.
2x-12-3x+12=2\left(x+5\right)
Use the distributive property to multiply -3 by x-4.
-x-12+12=2\left(x+5\right)
Combine 2x and -3x to get -x.
-x=2\left(x+5\right)
Add -12 and 12 to get 0.
-x=2x+10
Use the distributive property to multiply 2 by x+5.
-x-2x=10
Subtract 2x from both sides.
-3x=10
Combine -x and -2x to get -3x.
x=\frac{10}{-3}
Divide both sides by -3.
x=-\frac{10}{3}
Fraction \frac{10}{-3} can be rewritten as -\frac{10}{3} 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
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}