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3\left(x+15\right)=15-5\left(x-7\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
3x+45=15-5\left(x-7\right)
Use the distributive property to multiply 3 by x+15.
3x+45=15-5x+35
Use the distributive property to multiply -5 by x-7.
3x+45=50-5x
Add 15 and 35 to get 50.
3x+45+5x=50
Add 5x to both sides.
8x+45=50
Combine 3x and 5x to get 8x.
8x=50-45
Subtract 45 from both sides.
8x=5
Subtract 45 from 50 to get 5.
x=\frac{5}{8}
Divide both sides by 8.