Solve for x
x=\frac{1}{2}=0.5
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2x+2-\left(2x-5\right)=2\left(x+3\right)
Use the distributive property to multiply 2 by x+1.
2x+2-2x-\left(-5\right)=2\left(x+3\right)
To find the opposite of 2x-5, find the opposite of each term.
2x+2-2x+5=2\left(x+3\right)
The opposite of -5 is 5.
2+5=2\left(x+3\right)
Combine 2x and -2x to get 0.
7=2\left(x+3\right)
Add 2 and 5 to get 7.
7=2x+6
Use the distributive property to multiply 2 by x+3.
2x+6=7
Swap sides so that all variable terms are on the left hand side.
2x=7-6
Subtract 6 from both sides.
2x=1
Subtract 6 from 7 to get 1.
x=\frac{1}{2}
Divide both sides by 2.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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