Solve for x
x=-3
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6\left(x+3\right)+3x+2\left(2x+5\right)=3\left(x+1\right)-5
Multiply both sides of the equation by 12, the least common multiple of 2,4,6,12.
6x+18+3x+2\left(2x+5\right)=3\left(x+1\right)-5
Use the distributive property to multiply 6 by x+3.
9x+18+2\left(2x+5\right)=3\left(x+1\right)-5
Combine 6x and 3x to get 9x.
9x+18+4x+10=3\left(x+1\right)-5
Use the distributive property to multiply 2 by 2x+5.
13x+18+10=3\left(x+1\right)-5
Combine 9x and 4x to get 13x.
13x+28=3\left(x+1\right)-5
Add 18 and 10 to get 28.
13x+28=3x+3-5
Use the distributive property to multiply 3 by x+1.
13x+28=3x-2
Subtract 5 from 3 to get -2.
13x+28-3x=-2
Subtract 3x from both sides.
10x+28=-2
Combine 13x and -3x to get 10x.
10x=-2-28
Subtract 28 from both sides.
10x=-30
Subtract 28 from -2 to get -30.
x=\frac{-30}{10}
Divide both sides by 10.
x=-3
Divide -30 by 10 to get -3.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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