93.2k views
0 votes
Show each step to solve the equation below:

4x+5=x+2

User Aaron K
by
5.9k points

2 Answers

6 votes

To solve the equation 4x + 5 = x + 2, we need to get the terms with x on one side and the terms without x (the constants, or the numbers) on the other side.

4x + 5 = x + 2

The first step is to get the terms with x on one side. This can be done by subtracting x from both sides (it doesn't change the value of the equation, and it eliminates x from one side of the equation.

4x - x + 5 = x - x + 2

3x + 5 = 2

Now, we need to get the numbers on one side. This can be done by subtracting 5 from each side (for the same reasons as before).

3x + 5 - 5 = 2 - 5

3x = -3

Now, we want to get a singular x. This can be done by dividing both sides by the coefficient of x (3).

3/3x = - 3/3

x = -1

User Siavash Rostami
by
5.8k points
1 vote


4x + 5 = x + 2
Subtract 2 from both sides.

Your equation will be: 4x+3=x
Subtract 4x from both sides.
Yoir equation will be: 3= -3x
Divide by -3x on both sides.

Your final answer: x=-1
User Popester
by
5.6k points