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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 21 to 32, solve each equation.

2 ( x + 1 ) + 3 ( x + 2 ) = 22 + 4 ( 10 x )

To determine

To solve:

The given equation.

Explanation

Properties of equation solving:

1) Addition Property of Equality (if a=b, then a+c=b+c): An equivalent equation results when the same number is added to each side of an equation.

2) Subtraction Property of Equality (if a=b, then ac=bc): An equivalent equation results when the same number is subtracted from each side of an equation.

3) Multiplication Property of Equality (if a=b, then ac=bc for c0): An equivalent equation results when each side of an equation is multiplied by the same nonzero number.

4) Division Property of Equality (if a=b, then ac=bc for c0): An equivalent equation results when each side of an equation is divided by the same nonzero number.

Calculation:

Given: 2(x+1)+3(x+2)=22+4(10x)

By expanding the brackets we have:

2x+21+3x+32=22+4104x2x+2+3x+6=22+404x5x+8=624x

Addition Property of EqualityAdd 4x to both sides

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