Question

4x−19=−3x−12 What is the value of x?

Answer 1

Answer:

X = 1

Step-by-step explanation:

1) Move the 3x to the left hand side and change its sign:

4x-19+3x=-12

2) Move 19 to the right hand side and change its sign:

4x+3x=-12+19

3) collect the like terms:

4x+3x= 7x

-12+19= 7

4) Divide both sides by 7

X = 1

Answer 2

Answer:

4x − 19 = −3x − 12

Let's first get rid of any constants, either from the left or right side.

I'll start with the left, by using the inverse operations.

The inverse operation of subtraction (since 19 is negative) is addition.

So, we add 19 to both sides.

Remember that whenever we use inverse operations we need to do the same for the other side, consequently both sides.

+19             +19

Now, we'll end up with:

4x = -3x + 7

Let's get rid of other terms(grouping them), such as -3x.

We do this by adding 3x to both sides because the inverse operation of subtraction (since 3 is negative) is addition.

Add 3x to both sides,

+3x     +3x

7x = 7

Get rid of the co-efficient of x, which is 7.

We do this by dividing by 7 from both sides since the inverse operation of multiplication (because 7 is being multiplied by x) is division.

Divide by 7 from both sides:

÷7 ÷7

x = 1, the value of x is 1.