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5\left(x+5\right)=4\left(x+7\right)
Multiply both sides of the equation by 20, the least common multiple of 4,5.
5x+25=4\left(x+7\right)
Use the distributive property to multiply 5 by x+5.
5x+25=4x+28
Use the distributive property to multiply 4 by x+7.
5x+25-4x=28
Subtract 4x from both sides.
x+25=28
Combine 5x and -4x to get x.
x=28-25
Subtract 25 from both sides.
x=3
Subtract 25 from 28 to get 3.