Solve for x
x=13
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4\times 2\left(x-3\right)=5\left(x+3\right)
Multiply both sides of the equation by 20, the least common multiple of 5,4.
8\left(x-3\right)=5\left(x+3\right)
Multiply 4 and 2 to get 8.
8x-24=5\left(x+3\right)
Use the distributive property to multiply 8 by x-3.
8x-24=5x+15
Use the distributive property to multiply 5 by x+3.
8x-24-5x=15
Subtract 5x from both sides.
3x-24=15
Combine 8x and -5x to get 3x.
3x=15+24
Add 24 to both sides.
3x=39
Add 15 and 24 to get 39.
x=\frac{39}{3}
Divide both sides by 3.
x=13
Divide 39 by 3 to get 13.
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}