Solve for x
x = -\frac{27}{4} = -6\frac{3}{4} = -6.75
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2\left(3x+1\right)-\left(2\times 6+1\right)=2\left(5x+8\right)
Multiply both sides of the equation by 6, the least common multiple of 3,6.
6x+2-\left(2\times 6+1\right)=2\left(5x+8\right)
Use the distributive property to multiply 2 by 3x+1.
6x+2-\left(12+1\right)=2\left(5x+8\right)
Multiply 2 and 6 to get 12.
6x+2-13=2\left(5x+8\right)
Add 12 and 1 to get 13.
6x-11=2\left(5x+8\right)
Subtract 13 from 2 to get -11.
6x-11=10x+16
Use the distributive property to multiply 2 by 5x+8.
6x-11-10x=16
Subtract 10x from both sides.
-4x-11=16
Combine 6x and -10x to get -4x.
-4x=16+11
Add 11 to both sides.
-4x=27
Add 16 and 11 to get 27.
x=\frac{27}{-4}
Divide both sides by -4.
x=-\frac{27}{4}
Fraction \frac{27}{-4} can be rewritten as -\frac{27}{4} by extracting the negative sign.
Examples
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y = 3x + 4
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Matrix
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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
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Limits
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