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What are the steps to solving 2x+4=6x-12

User Minding
by
4.5k points

2 Answers

6 votes

Answer:

x = 4

Explanation:

Solve for x:

2 x + 4 = 6 x - 12

Subtract 6 x from both sides:

(2 x - 6 x) + 4 = (6 x - 6 x) - 12

2 x - 6 x = -4 x:

-4 x + 4 = (6 x - 6 x) - 12

6 x - 6 x = 0:

4 - 4 x = -12

Subtract 4 from both sides:

(4 - 4) - 4 x = -4 - 12

4 - 4 = 0:

-4 x = -4 - 12

-4 - 12 = -16:

-4 x = -16

Divide both sides of -4 x = -16 by -4:

(-4 x)/(-4) = (-16)/(-4)

(-4)/(-4) = 1:

x = (-16)/(-4)

The gcd of -16 and -4 is -4, so (-16)/(-4) = (-4×4)/(-4×1) = (-4)/(-4)×4 = 4:

Answer: x = 4

User NFicano
by
4.8k points
3 votes

Answer:

4

Explanation:

Step 1:

2x + 4 = 6x - 12 Equation

Step 2:

4 = 4x - 12 Subtract 4x on both sides

Step 3:

16 = 4x Add 12 on both sides

Step 4:

x = 16 ÷ 4 Divide

Answer:

x = 4

Hope This Helps :)

User Joeseph
by
4.3k points