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4\left(5+x\right)=3\left(x+7\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
20+4x=3\left(x+7\right)
Use the distributive property to multiply 4 by 5+x.
20+4x=3x+21
Use the distributive property to multiply 3 by x+7.
20+4x-3x=21
Subtract 3x from both sides.
20+x=21
Combine 4x and -3x to get x.
x=21-20
Subtract 20 from both sides.
x=1
Subtract 20 from 21 to get 1.