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2\left(2x-5\right)=5\left(x+7\right)
Variable x cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+7\right), the least common multiple of x+7,2.
4x-10=5\left(x+7\right)
Use the distributive property to multiply 2 by 2x-5.
4x-10=5x+35
Use the distributive property to multiply 5 by x+7.
4x-10-5x=35
Subtract 5x from both sides.
-x-10=35
Combine 4x and -5x to get -x.
-x=35+10
Add 10 to both sides.
-x=45
Add 35 and 10 to get 45.
x=-45
Multiply both sides by -1.