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2\left(x-5\right)+21=-7
Multiply both sides of the equation by 12, the least common multiple of 6,4,12.
2x-10+21=-7
Use the distributive property to multiply 2 by x-5.
2x+11=-7
Add -10 and 21 to get 11.
2x=-7-11
Subtract 11 from both sides.
2x=-18
Subtract 11 from -7 to get -18.
x=\frac{-18}{2}
Divide both sides by 2.
x=-9
Divide -18 by 2 to get -9.