5(x-2)+14=2x+7(2-x)

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Solution for 5(x-2)+14=2x+7(2-x) equation: 



5(x-2)+14=2x+7(2-x)

We move all terms to the left:

5(x-2)+14-(2x+7(2-x))=0

We add all the numbers together, and all the variables

5(x-2)-(2x+7(-1x+2))+14=0

We multiply parentheses

5x-(2x+7(-1x+2))-10+14=0



We calculate terms in parentheses: -(2x+7(-1x+2)), so:

2x+7(-1x+2)

We multiply parentheses

2x-7x+14

We add all the numbers together, and all the variables

-5x+14

Back to the equation:

-(-5x+14)



We add all the numbers together, and all the variables

5x-(-5x+14)+4=0

We get rid of parentheses

5x+5x-14+4=0

We add all the numbers together, and all the variables

10x-10=0

We move all terms containing x to the left, all other terms to the right

10x=10

x=10/10

x=1

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