Respuesta :
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!
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
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