Solve for x
x=5
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6\left(3x+5\right)+10\left(2-x\right)=5\left(5x-7\right)
Multiply both sides of the equation by 30, the least common multiple of 5,3,6.
18x+30+10\left(2-x\right)=5\left(5x-7\right)
Use the distributive property to multiply 6 by 3x+5.
18x+30+20-10x=5\left(5x-7\right)
Use the distributive property to multiply 10 by 2-x.
18x+50-10x=5\left(5x-7\right)
Add 30 and 20 to get 50.
8x+50=5\left(5x-7\right)
Combine 18x and -10x to get 8x.
8x+50=25x-35
Use the distributive property to multiply 5 by 5x-7.
8x+50-25x=-35
Subtract 25x from both sides.
-17x+50=-35
Combine 8x and -25x to get -17x.
-17x=-35-50
Subtract 50 from both sides.
-17x=-85
Subtract 50 from -35 to get -85.
x=\frac{-85}{-17}
Divide both sides by -17.
x=5
Divide -85 by -17 to get 5.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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