Solve for x
x = \frac{34}{13} = 2\frac{8}{13} \approx 2.615384615
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10\left(x+1\right)-3\left(4x+1\right)=-4-15\left(x-3\right)
Multiply both sides of the equation by 30, the least common multiple of 3,10,15,2.
10x+10-3\left(4x+1\right)=-4-15\left(x-3\right)
Use the distributive property to multiply 10 by x+1.
10x+10-12x-3=-4-15\left(x-3\right)
Use the distributive property to multiply -3 by 4x+1.
-2x+10-3=-4-15\left(x-3\right)
Combine 10x and -12x to get -2x.
-2x+7=-4-15\left(x-3\right)
Subtract 3 from 10 to get 7.
-2x+7=-4-15x+45
Use the distributive property to multiply -15 by x-3.
-2x+7=41-15x
Add -4 and 45 to get 41.
-2x+7+15x=41
Add 15x to both sides.
13x+7=41
Combine -2x and 15x to get 13x.
13x=41-7
Subtract 7 from both sides.
13x=34
Subtract 7 from 41 to get 34.
x=\frac{34}{13}
Divide both sides by 13.
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