Solve for x
x = -\frac{18}{13} = -1\frac{5}{13} \approx -1.384615385
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12-16x-3\left(2-5x\right)=2-4x-2\left(5x+7\right)
Use the distributive property to multiply 4 by 3-4x.
12-16x-6+15x=2-4x-2\left(5x+7\right)
Use the distributive property to multiply -3 by 2-5x.
6-16x+15x=2-4x-2\left(5x+7\right)
Subtract 6 from 12 to get 6.
6-x=2-4x-2\left(5x+7\right)
Combine -16x and 15x to get -x.
6-x=2-4x-10x-14
Use the distributive property to multiply -2 by 5x+7.
6-x=2-14x-14
Combine -4x and -10x to get -14x.
6-x=-12-14x
Subtract 14 from 2 to get -12.
6-x+14x=-12
Add 14x to both sides.
6+13x=-12
Combine -x and 14x to get 13x.
13x=-12-6
Subtract 6 from both sides.
13x=-18
Subtract 6 from -12 to get -18.
x=\frac{-18}{13}
Divide both sides by 13.
x=-\frac{18}{13}
Fraction \frac{-18}{13} can be rewritten as -\frac{18}{13} 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}