Solve for x
x = \frac{17}{8} = 2\frac{1}{8} = 2.125
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5\left(x-1\right)=15-3\left(x+1\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-5=15-3\left(x+1\right)
Use the distributive property to multiply 5 by x-1.
5x-5=15-3x-3
Use the distributive property to multiply -3 by x+1.
5x-5=12-3x
Subtract 3 from 15 to get 12.
5x-5+3x=12
Add 3x to both sides.
8x-5=12
Combine 5x and 3x to get 8x.
8x=12+5
Add 5 to both sides.
8x=17
Add 12 and 5 to get 17.
x=\frac{17}{8}
Divide both sides by 8.
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