Solve for x
x=2
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10\left(5x-4\right)-12\left(2x+1\right)=15\left(3x-2\right)-20\left(x+1\right)
Multiply both sides of the equation by 60, the least common multiple of 6,5,4,3.
50x-40-12\left(2x+1\right)=15\left(3x-2\right)-20\left(x+1\right)
Use the distributive property to multiply 10 by 5x-4.
50x-40-24x-12=15\left(3x-2\right)-20\left(x+1\right)
Use the distributive property to multiply -12 by 2x+1.
26x-40-12=15\left(3x-2\right)-20\left(x+1\right)
Combine 50x and -24x to get 26x.
26x-52=15\left(3x-2\right)-20\left(x+1\right)
Subtract 12 from -40 to get -52.
26x-52=45x-30-20\left(x+1\right)
Use the distributive property to multiply 15 by 3x-2.
26x-52=45x-30-20x-20
Use the distributive property to multiply -20 by x+1.
26x-52=25x-30-20
Combine 45x and -20x to get 25x.
26x-52=25x-50
Subtract 20 from -30 to get -50.
26x-52-25x=-50
Subtract 25x from both sides.
x-52=-50
Combine 26x and -25x to get x.
x=-50+52
Add 52 to both sides.
x=2
Add -50 and 52 to get 2.
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