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6x+3=8-5\left(2x-3\right)
Use the distributive property to multiply 3 by 2x+1.
6x+3=8-10x+15
Use the distributive property to multiply -5 by 2x-3.
6x+3=23-10x
Add 8 and 15 to get 23.
6x+3+10x=23
Add 10x to both sides.
16x+3=23
Combine 6x and 10x to get 16x.
16x=23-3
Subtract 3 from both sides.
16x=20
Subtract 3 from 23 to get 20.
x=\frac{20}{16}
Divide both sides by 16.
x=\frac{5}{4}
Reduce the fraction \frac{20}{16} to lowest terms by extracting and canceling out 4.