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6-6x = 2(x+5) need answer please ​

1 Answer

5 votes

Answer:


\large\boxed{x=-(1)/(2)=-0.5}

Explanation:


6-6x=2(x+5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\6-6x=(2)(x)+(2)(5)\\\\6-6x=2x+10\qquad\text{subtract 6 from both sides}\\\\6-6-6x=2x+10-6\\\\-6x=2x+4\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\-6x-2x=2x-2x+4\\\\-8x=4\qquad\text{divide both sides by (-8)}\\\\(-8x)/(-8)=(4)/(-8)\\\\x=-(4:4)/(8:4)\\\\x=-(1)/(2)

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