Solve for x
x = -\frac{8}{7} = -1\frac{1}{7} \approx -1.142857143
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3\left(5x+2\right)=2\left(4x-1\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
15x+6=2\left(4x-1\right)
Use the distributive property to multiply 3 by 5x+2.
15x+6=8x-2
Use the distributive property to multiply 2 by 4x-1.
15x+6-8x=-2
Subtract 8x from both sides.
7x+6=-2
Combine 15x and -8x to get 7x.
7x=-2-6
Subtract 6 from both sides.
7x=-8
Subtract 6 from -2 to get -8.
x=\frac{-8}{7}
Divide both sides by 7.
x=-\frac{8}{7}
Fraction \frac{-8}{7} can be rewritten as -\frac{8}{7} by extracting the negative sign.
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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
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