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2\left(2x-3\right)-5\times 7x+30x=0
Multiply both sides of the equation by 10, the least common multiple of 5,2.
4x-6-5\times 7x+30x=0
Use the distributive property to multiply 2 by 2x-3.
4x-6-35x+30x=0
Multiply -5 and 7 to get -35.
-31x-6+30x=0
Combine 4x and -35x to get -31x.
-x-6=0
Combine -31x and 30x to get -x.
-x=6
Add 6 to both sides. Anything plus zero gives itself.
x=-6
Multiply both sides by -1.