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What is the answer to 3(x+1) = 5+x

2 Answers

1 vote

Answer:


\tt{}x = 1

Explanation:


\tt{}3(x + 1) = 5 + x


\tt{}3x + 3 = 5 + x


\tt{}2x = 2


\tt{}x = (2)/(2)


\tt{}x = 1 \\ \\

User Rethunk
by
3.7k points
6 votes

3 (x + 1) = 5 + x

First you must distribute the 3 to the values inside the parentheses:

3 (x + 1) = 5 + x

(3 * x) + (3 * 1) = 5 + x

3x + 3 = 5 + x

Now you must combine like terms. Like terms are numbers that have matching variables like 3x and x OR are numbers with out variables like 3 and 5.

3x - x = 5 - 3

2x = 2

Next, to completely isolate x, divide 2 to both sides. Since 2 is being multiplied by x, division (the opposite of multiplication) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.

2x / 2 = 2 / 2

1x = 1

Check:

3 (1 + 1) = 5 + 1

3 (2) = 5 + 1

6 = 6

^^^This is true, therefore:

x = 1

Hope this helped!

~Just a girl in love with Shawn Mendes

User Sisco
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