Solve for x
x=1
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2\left(3x+10\right)-3\left(x+1\right)=10-5\left(x-3\right)
Multiply both sides of the equation by 10, the least common multiple of 5,10,2.
6x+20-3\left(x+1\right)=10-5\left(x-3\right)
Use the distributive property to multiply 2 by 3x+10.
6x+20-3x-3=10-5\left(x-3\right)
Use the distributive property to multiply -3 by x+1.
3x+20-3=10-5\left(x-3\right)
Combine 6x and -3x to get 3x.
3x+17=10-5\left(x-3\right)
Subtract 3 from 20 to get 17.
3x+17=10-5x+15
Use the distributive property to multiply -5 by x-3.
3x+17=25-5x
Add 10 and 15 to get 25.
3x+17+5x=25
Add 5x to both sides.
8x+17=25
Combine 3x and 5x to get 8x.
8x=25-17
Subtract 17 from both sides.
8x=8
Subtract 17 from 25 to get 8.
x=\frac{8}{8}
Divide both sides by 8.
x=1
Divide 8 by 8 to get 1.
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