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5 votes
How many solutions does the equation -3x - 15 - 2x = 5(x - 1) have

2 Answers

5 votes

Answer:

One solution, x=-1

Explanation:

-3x - 15 - 2x = 5(x - 1)

First let’s simply like terms on the left, which will be x

-3x - 2x = -5x

-5x - 15 = 5(x - 1)

And now that the left side is fully simplified, distribute on the right side

5 (x -1) …. 5x - 5

.

-5x - 15 = 5x - 5

But there is x on both side. Let’s move -5x to the other side so we are only solving for one x on a single side.

-15 = 5x - 5

+5x

-15 = 10x - 5

Addition property of equality (Add 5 to solve)

-15 = 10x

+5

-10 = 10x

Division property of equality (divide by 10 to solve)

10/-10 = -1


x = -1!!

User Kristian Frost
by
7.9k points
1 vote

Answer:

x = -1

Explanation:

-3x - 15 - 2x = 5(x - 1)

-3x - 15 - 2x = 5x - 5

-5x - 15 = 5x - 5

-10x = 10

x = -1

User Ivan Tarskich
by
7.8k points