Answers:
<h3>x = 3</h3><h3>One solution</h3><h3>Identity</h3>
Step-by-step explanation:
In algebra, the goal is always to isolate the variable, so that its value can be determined.
<h3>Step 1: Use distributive property to remove parentheses</h3>
2x + 4x - 4 = 2 + 4x
<h3>Step 2: Add like terms</h3>
6x - 4 = 2 + 4x
<h3>Step 3: Subtract 4x</h3>
We need all variables on one side to solve, so subtract 4x from both sides.
2x - 4 = 2
<h3>Step 4: Add 4</h3>
2x = 6
<h3>Step 5: Divide by 2</h3>
x = 3
<h3>Step 6: Check</h3>
2(3) + 4(3) - 4 = 2 + 4(3)
6 + 12 - 4 = 2 + 12
14 = 14 ✔
<h3>Step 7: How many solutions?</h3>
The given equation has only one solution.
<h3>Step 8: Identity, a contradiction or neither?</h3>
The given equation is an identity.
<h3>Step 9: Answers</h3>
x = 3
One solution
Identity
I'm always happy to help :)
