Solve for x
x = \frac{7}{5} = 1\frac{2}{5} = 1.4
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3\left(5x-3\right)-2\left(x-2\right)=6\left(5-2x\right)
Multiply both sides of the equation by 12, the least common multiple of 4,6,2.
15x-9-2\left(x-2\right)=6\left(5-2x\right)
Use the distributive property to multiply 3 by 5x-3.
15x-9-2x+4=6\left(5-2x\right)
Use the distributive property to multiply -2 by x-2.
13x-9+4=6\left(5-2x\right)
Combine 15x and -2x to get 13x.
13x-5=6\left(5-2x\right)
Add -9 and 4 to get -5.
13x-5=30-12x
Use the distributive property to multiply 6 by 5-2x.
13x-5+12x=30
Add 12x to both sides.
25x-5=30
Combine 13x and 12x to get 25x.
25x=30+5
Add 5 to both sides.
25x=35
Add 30 and 5 to get 35.
x=\frac{35}{25}
Divide both sides by 25.
x=\frac{7}{5}
Reduce the fraction \frac{35}{25} to lowest terms by extracting and canceling out 5.
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}