Solve for x
x=5
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9\left(3-x\right)-6\times 2\left(x-2\right)=72-2\times 7\left(2x-1\right)
Multiply both sides of the equation by 18, the least common multiple of 2,3,9.
27-9x-6\times 2\left(x-2\right)=72-2\times 7\left(2x-1\right)
Use the distributive property to multiply 9 by 3-x.
27-9x-12\left(x-2\right)=72-2\times 7\left(2x-1\right)
Multiply -6 and 2 to get -12.
27-9x-12x+24=72-2\times 7\left(2x-1\right)
Use the distributive property to multiply -12 by x-2.
27-21x+24=72-2\times 7\left(2x-1\right)
Combine -9x and -12x to get -21x.
51-21x=72-2\times 7\left(2x-1\right)
Add 27 and 24 to get 51.
51-21x=72-14\left(2x-1\right)
Multiply -2 and 7 to get -14.
51-21x=72-28x+14
Use the distributive property to multiply -14 by 2x-1.
51-21x=86-28x
Add 72 and 14 to get 86.
51-21x+28x=86
Add 28x to both sides.
51+7x=86
Combine -21x and 28x to get 7x.
7x=86-51
Subtract 51 from both sides.
7x=35
Subtract 51 from 86 to get 35.
x=\frac{35}{7}
Divide both sides by 7.
x=5
Divide 35 by 7 to get 5.
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}