asked 93.1k views
4 votes
3(x-2) + 7x= 1/2 (6 x-2)

2 Answers

3 votes
X=5/7

Simplify the right side of the equation by distributing the 1/2 :
3(x-2)+7x=1/2(6x-2)
3x-6+7x=3x-1

Combine like terms on both sides of the equation:
10x-6=3x-1
Add 6 to both sides of the equation:
10x=3x+5
Subtract 3x from both sides of the equation
7x=5
Finally, divide both sides of the equation by 7:
X=5/7
Therefore the solution is x=5/7.
answered
User Dalton Conley
by
8.8k points
6 votes
Answer: 5/7

Explaination:

First you remove the parentheses and rewrite. That leaves you with

3x - 6 + 7x = 1/2 * 2(3x - 1)

Then simplify the expression

3x - 6 + 7x = 3x - 1

Then cancel the equal terms on both sides

6- + 7x = -1

Then move the constant to the right

7x = -1 + 6

Add -1 + 6

7x = 5

Finally, divide it out!

x = 5/7
answered
User Bianca Tesila
by
8.5k points

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