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Korvikt [17]
2 years ago
6

5x − 8( 1 + 7x ) = −8

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
6 0

Answer:

x = 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

5x - 8(1 + 7x) = -8

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

  1. Distribute -8:                              5x - 8 - 56x = -8
  2. Combine like terms:                  -51x - 8 = -8
  3. Isolate <em>x</em> term:                            -51x = 0
  4. Isolate <em>x</em>:                                     x = 0

<u>Step 3: Check</u>

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

  1. Substitute in <em>x</em>:                    5(0) - 8(1 + 7(0)) = -8
  2. Multiply:                               0 - 8(1 + 0) = -8
  3. Add:                                      -8(1) = -8
  4. Multiply:                                -8 = -8

Here we see that -8 does indeed equal -8.

∴ x = 0 is a solution of the equation.

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