Solve for x
x = -\frac{53}{11} = -4\frac{9}{11} \approx -4.818181818
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4\left(x-14\right)-3\left(x-3\right)=6\left(2x+1\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4,2.
4x-56-3\left(x-3\right)=6\left(2x+1\right)
Use the distributive property to multiply 4 by x-14.
4x-56-3x+9=6\left(2x+1\right)
Use the distributive property to multiply -3 by x-3.
x-56+9=6\left(2x+1\right)
Combine 4x and -3x to get x.
x-47=6\left(2x+1\right)
Add -56 and 9 to get -47.
x-47=12x+6
Use the distributive property to multiply 6 by 2x+1.
x-47-12x=6
Subtract 12x from both sides.
-11x-47=6
Combine x and -12x to get -11x.
-11x=6+47
Add 47 to both sides.
-11x=53
Add 6 and 47 to get 53.
x=\frac{53}{-11}
Divide both sides by -11.
x=-\frac{53}{11}
Fraction \frac{53}{-11} can be rewritten as -\frac{53}{11} by extracting the negative sign.
Examples
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{ 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}