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statuscvo [17]
3 years ago
9

Solve. 7x−6=8+5x Enter your answer in the box. x =

Mathematics
1 answer:
Alinara [238K]3 years ago
7 0

Answer:

x = 7

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

7x - 6 = 8 + 5x

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

  1. Subtract 5x on both sides:                    2x - 6 = 8
  2. Add 6 to both sides:                              2x = 14
  3. Divide 2 on both sides:                          x = 7

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    7(7) - 6 = 8 + 5(7)
  2. Multiply:                               49 - 6 = 8 + 35
  3. Subtract/Add:                      43 = 43

Here we see that 43 does indeed equal 43.

∴ x = 7 is a solution of the equation.

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