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5\left(x-3\right)=4\left(x+5\right)
Multiply both sides of the equation by 20, the least common multiple of 4,5.
5x-15=4\left(x+5\right)
Use the distributive property to multiply 5 by x-3.
5x-15=4x+20
Use the distributive property to multiply 4 by x+5.
5x-15-4x=20
Subtract 4x from both sides.
x-15=20
Combine 5x and -4x to get x.
x=20+15
Add 15 to both sides.
x=35
Add 20 and 15 to get 35.