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2\left(5x+2\right)-\left(2x+4\right)=-8
Multiply both sides of the equation by 6, the least common multiple of 3,6.
10x+4-\left(2x+4\right)=-8
Use the distributive property to multiply 2 by 5x+2.
10x+4-2x-4=-8
To find the opposite of 2x+4, find the opposite of each term.
8x+4-4=-8
Combine 10x and -2x to get 8x.
8x=-8
Subtract 4 from 4 to get 0.
x=\frac{-8}{8}
Divide both sides by 8.
x=-1
Divide -8 by 8 to get -1.