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How do you solve the following equation using algebraic steps?: 2(4x-5) - 3(-x+6)...

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kl10 | Student, Grade 11 | (Level 1) eNoter

Posted December 18, 2011 at 4:05 AM via web

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How do you solve the following equation using algebraic steps?:

2(4x-5) - 3(-x+6) =2/5(10x-65)

 

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted December 18, 2011 at 7:14 AM (Answer #1)

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2(4x-5) - 3(-x+6) = (2/5)(10x-65)

First we will open the brackets.

==> 8x -10 + 3x -18 = (2/5)10x - (2/5)(65)

==> Now we will combine like terms.

==> 5x -28 = 4x - 26

Now we will subtract 4x from both sides.

==> x -28 = -26

Now we will add 28 to both sides.

==> x = 28-26 = 2

Then the answer is x= 2.

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