Solve for x
x=0
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5\left(x+7\right)=7\left(5-x\right)
Multiply both sides of the equation by 35, the least common multiple of 7,5.
5x+35=7\left(5-x\right)
Use the distributive property to multiply 5 by x+7.
5x+35=35-7x
Use the distributive property to multiply 7 by 5-x.
5x+35+7x=35
Add 7x to both sides.
12x+35=35
Combine 5x and 7x to get 12x.
12x=35-35
Subtract 35 from both sides.
12x=0
Subtract 35 from 35 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 12 is not equal to 0, x must be equal to 0.
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