Solve for x
x=10
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2\times 2\left(x+3x\right)=5\left(3x+2\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2.
4\left(x+3x\right)=5\left(3x+2\right)
Multiply 2 and 2 to get 4.
4\times 4x=5\left(3x+2\right)
Combine x and 3x to get 4x.
16x=5\left(3x+2\right)
Multiply 4 and 4 to get 16.
16x=15x+10
Use the distributive property to multiply 5 by 3x+2.
16x-15x=10
Subtract 15x from both sides.
x=10
Combine 16x and -15x to get x.
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y = 3x + 4
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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