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12 votes
12 votes
How many solutions are there to the equation below?

6x+8 - 2x(7 - 2) = 2(6+1)
A. 0
B. 1
C. infinitely many

User Mirosval
by
2.4k points

2 Answers

23 votes
23 votes

Answer:

B - one solution

Explanation:

6x+8−2x(7−2)=2(6+1)

Subtract 2 from 7 to get 5.

6x+8−2x×5=2(6+1)

Multiply 2 and 5 to get 10.

6x+8−10x=2(6+1)

Combine 6x and −10x to get −4x.

−4x+8=2(6+1)

Add 6 and 1 to get 7.

−4x+8=2×7

Multiply 2 and 7 to get 14.

−4x+8=14

Subtract 8 from both sides.

−4x=14−8

Subtract 8 from 14 to get 6.

−4x=6

Divide both sides by −4.

x=−46

Reduce the fraction −46 to lowest terms by extracting and canceling out 2.

x=−23

hope it helps :)

User BRPocock
by
3.3k points
14 votes
14 votes

Answer:

B one solution

Explanation:

User Anil Jagtap
by
2.9k points