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2 votes
If 6x - 7 - 2x + 4 = 13, what is the value of 10 - 2x?

2 Answers

5 votes

Answer:

2

Explanation:

Let's for solve for x:

Solve for x:

6 x - 2 x - 7 + 4 = 13

Grouping like terms, 6 x - 2 x - 7 + 4 = (6 x - 2 x) + (-7 + 4):

((6 x - 2 x) + (-7 + 4)) = 13

6 x - 2 x = 4 x:

4 x + (-7 + 4) = 13

4 - 7 = -3:

4 x + -3 = 13

Add 3 to both sides:

4 x + (3 - 3) = 3 + 13

3 - 3 = 0:

4 x = 13 + 3

13 + 3 = 16:

4 x = 16

Divide both sides of 4 x = 16 by 4:

(4 x)/4 = 16/4

4/4 = 1:

x = 16/4

The gcd of 16 and 4 is 4, so 16/4 = (4×4)/(4×1) = 4/4×4 = 4:

Answer: x = 4

Plug in the numbers;

10 -2(4) = 2

User Indiano
by
8.3k points
4 votes

Answer: 2

Explanation:

6x - 7 - 2x + 4 = 13
4x - 3 = 13
4x = 13 + 3
4x = 16
x = 16/4
x = 4

=======================================================
10 - 2x is 10 - 2(4)
10 - 2(4)
= 10 - 8
= 2

User Bluesmoon
by
7.2k points