SOLUTION: Given 10(x+3)=4x+6 prove x=-4

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Question 229434: Given 10(x+3)=4x+6
prove x=-4


Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Given 10%28x%2B3%29=4x%2B6

prove x=-4

Step 1. Multiply out the left side of the equation to get rid of the parenthesis.

10x-30=4x%2B6

Step 2. Subtract 30 from both sides of the equation

10x%2Bcross%2830%29-cross%2830%29=4x%2B6-30

10x=4x-24

Step 3. Subtract 4x from both sides of the equation

10x-4x=cross%284x%29-24-cross%284x%29

6x=-24

Step 4. Divide 6 from both sides of the equation

cross%286%29x%2Fcross%286%29=-24%2F6

x=-4

Step 5. Check x=-4 as a solution by substituting into original equation 10%28x%2B3%29=4x%2B6

10%28-4%2B3%29=4%2A%28-4%29%2B6

-10=-10 which is a true statement.

Step 6. ANSWER: The solution is x=-4. Steps 1-5 shows the proof.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV