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Maksim231197 [3]
3 years ago
15

Solve the equation 12x-14=4x+10​

Mathematics
2 answers:
ziro4ka [17]3 years ago
3 0

Answer:

x=3

Step-by-step explanation:

12x-14=4x+10​

Subtract 4x from each side

12x-4x-14=4x-4x+10​

8x - 14 = 10

Add 14 to each side

8x - 14+14 = 10+14

8x = 24

Divide each side by 8

8x/8 = 24/8

x = 3

lilavasa [31]3 years ago
3 0

Answer: x = 3

Explanation: This problem can be done either of two ways.

By putting the variables together on the left and

the numbers together on the right or vice versa.

If we put our variables together on the left and our

numbers together on the right, we would start by

subtracting 4x from both sides to get 8x - 14 = 10.

Next, we add 14 to both sides to get 8x = 24.

Finally, we divide both sides by 3 to get <em>x = 3</em>.

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2(x + -5) + x = x + (-6)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property] Distribute 2:                                                                 2x - 10 + x = x - 6
  2. [Addition] Combine like terms (x):                                                                   3x - 10 = x - 6
  3. [Subtraction Property of Equality] Subtract <em>x</em> on both sides:                         2x - 10 = -6
  4. [Addition Property of Equality] Add 10 on both sides:                                   2x = 4
  5. [Division Property of Equality] Divide 2 on both sides:                                  x = 2
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