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What is the solution to 2(6x+1)-3x=10-(x-2)

What is the solution to 2(6x+1)-3x=10-(x-2)-example-1
User Spinner
by
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2 Answers

4 votes

Answer:

1

Explanation:

you distribute the first parenthesis

which is 12x+2-3x=10-(x-2) the negative 2 and the negative sign will make +2

Then cancel equal terms

so 12x-3x=10-x

subtract 12x-3x

9x=10-x

reverse operations so

9x+x

which is 10x

10x=10

divide

x=1

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User Chris Conover
by
8.1k points
4 votes

Answer:

x=1

Explanation:

2(6x+1)-3x=10-(x-2)

Distribute

12x +2 -3x = 10 -x+2

Combine like terms

9x +2 = 12 -x

Add x to each side

9x +x +2 = 12 -x+x

10x +2 = 12

Subtract 2 from each side

10x +2-2 = 12-2

10x = 10

Divide each side by 10

10x/10 = 10/10

x =1

User Hearn
by
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