Solve for x
x=7
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12\left(2x+1\right)-15\left(x-3\right)=12\left(3x-1\right)-20\left(x-1\right)
Multiply both sides of the equation by 60, the least common multiple of 5,4,3.
24x+12-15\left(x-3\right)=12\left(3x-1\right)-20\left(x-1\right)
Use the distributive property to multiply 12 by 2x+1.
24x+12-15x+45=12\left(3x-1\right)-20\left(x-1\right)
Use the distributive property to multiply -15 by x-3.
9x+12+45=12\left(3x-1\right)-20\left(x-1\right)
Combine 24x and -15x to get 9x.
9x+57=12\left(3x-1\right)-20\left(x-1\right)
Add 12 and 45 to get 57.
9x+57=36x-12-20\left(x-1\right)
Use the distributive property to multiply 12 by 3x-1.
9x+57=36x-12-20x+20
Use the distributive property to multiply -20 by x-1.
9x+57=16x-12+20
Combine 36x and -20x to get 16x.
9x+57=16x+8
Add -12 and 20 to get 8.
9x+57-16x=8
Subtract 16x from both sides.
-7x+57=8
Combine 9x and -16x to get -7x.
-7x=8-57
Subtract 57 from both sides.
-7x=-49
Subtract 57 from 8 to get -49.
x=\frac{-49}{-7}
Divide both sides by -7.
x=7
Divide -49 by -7 to get 7.
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Limits
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