Solve for x
x=8
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10\left(x+6\right)+8\left(x-3\right)=5\left(5x-4\right)
Multiply both sides of the equation by 40, the least common multiple of 4,5,8.
10x+60+8\left(x-3\right)=5\left(5x-4\right)
Use the distributive property to multiply 10 by x+6.
10x+60+8x-24=5\left(5x-4\right)
Use the distributive property to multiply 8 by x-3.
18x+60-24=5\left(5x-4\right)
Combine 10x and 8x to get 18x.
18x+36=5\left(5x-4\right)
Subtract 24 from 60 to get 36.
18x+36=25x-20
Use the distributive property to multiply 5 by 5x-4.
18x+36-25x=-20
Subtract 25x from both sides.
-7x+36=-20
Combine 18x and -25x to get -7x.
-7x=-20-36
Subtract 36 from both sides.
-7x=-56
Subtract 36 from -20 to get -56.
x=\frac{-56}{-7}
Divide both sides by -7.
x=8
Divide -56 by -7 to get 8.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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