58.9k views
2 votes
How do you solve for x in a math question like this 5+4x=54-3x?

User Gericke
by
7.7k points

2 Answers

7 votes
Let's solve your equation step-by-step.
5
+
4
x
=
54

3
x
Step 1: Simplify both sides of the equation.
5
+
4
x
=
54

3
x
5
+
4
x
=
54
+

3
x
4
x
+
5
=

3
x
+
54
Step 2: Add 3x to both sides.
4
x
+
5
+
3
x
=

3
x
+
54
+
3
x
7
x
+
5
=
54
Step 3: Subtract 5 from both sides.
7
x
+
5

5
=
54

5
7
x
=
49
Step 4: Divide both sides by 7.
7
x
7
=
49
7
x
=
7
Answer:
x
=
7
User LeY
by
8.7k points
3 votes

To solve for x, first you need to isolate all x terms on the same side so:

you start with 5 + 4x = 54 - 3x

subtract 5 from both sides to get 5 onto the left side

now you should have 4x = 49 - 3x

now add 3x to both sides to get 3x onto the right side

now you should have 7x = 49

now that you have your x on one side you can solve this like a regular one step equation and divide both sides by 7

this leads you to your answer of x = 7

hope this helps!

User Lehu
by
7.5k points

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