Solve for x
x=-1
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-4\left(4x+7\right)=3\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 12\left(x-3\right), the least common multiple of 9-3x,4.
-16x-28=3\left(x-3\right)
Use the distributive property to multiply -4 by 4x+7.
-16x-28=3x-9
Use the distributive property to multiply 3 by x-3.
-16x-28-3x=-9
Subtract 3x from both sides.
-19x-28=-9
Combine -16x and -3x to get -19x.
-19x=-9+28
Add 28 to both sides.
-19x=19
Add -9 and 28 to get 19.
x=\frac{19}{-19}
Divide both sides by -19.
x=-1
Divide 19 by -19 to get -1.
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}