Solve for x
x=-\frac{1}{3}\approx -0.333333333
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\left(x-3\right)\times 2=3\left(x+1\right)-2\left(5+2x\right)
Multiply both sides of the equation by 6, the least common multiple of 6,2,3.
2x-6=3\left(x+1\right)-2\left(5+2x\right)
Use the distributive property to multiply x-3 by 2.
2x-6=3x+3-2\left(5+2x\right)
Use the distributive property to multiply 3 by x+1.
2x-6=3x+3-10-4x
Use the distributive property to multiply -2 by 5+2x.
2x-6=3x-7-4x
Subtract 10 from 3 to get -7.
2x-6=-x-7
Combine 3x and -4x to get -x.
2x-6+x=-7
Add x to both sides.
3x-6=-7
Combine 2x and x to get 3x.
3x=-7+6
Add 6 to both sides.
3x=-1
Add -7 and 6 to get -1.
x=\frac{-1}{3}
Divide both sides by 3.
x=-\frac{1}{3}
Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.
Examples
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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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