231k views
3 votes
Can you help me solve for x on this equation 2x+8=3x-4

2 Answers

3 votes

Answer:

12

Step-by-step equation:

2x + 8 = 3x - 4

2x = 3x - 4 - 8

2x = 3x - 12

2x - 3x = -12

-1x = -12

x = -12 / -1

x = 12



Proof:

2(12) + 8 = 3(12) - 4

24 + 8 = 3(12) - 4

24 + 8 = 36 - 4

32 = 36 - 5

32 = 32 → both sides of the equation are equal, our answer is correct






Hope it helped,





BioTeacher101


User Rigel Chen
by
6.9k points
7 votes

Answer: 12

Explanation:

2x + 8 = 3x - 4

In order to solve for x, we must isolate x. We can do this by moving all of the numbers with "x" in it to the left side of the equal side, and move everything else to the right of it!

Let's start off by subtracting 8 from both sides. Remember : what you do to one side, you must do it to the other.

2x + 8 - 8 = 3x - 4 - 8

Simplify!

2x = 3x - 12

Now, let's subtract 3x from both sides.

2x - 3x = 3x - 12 - 3x

Simplify!

-x = -12

Divide both sides by -1.

-x ÷ -1 = -12 ÷ -1

Simplify.

x = 12

User Geo Angelopoulos
by
6.8k points
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