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Tems11 [23]
2 years ago
5

Solve the equation for x: -3(x + 4) + 5x = 24

Mathematics
2 answers:
Makovka662 [10]2 years ago
8 0

Answer:

x = 18

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

-3(x + 4) + 5x = 24

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

  1. Distribute -3:                    -3x - 12 + 5x = 24
  2. Combine like terms:        2x - 12 = 24
  3. Isolate <em>x</em> term:                  2x = 36
  4. Isolate <em>x</em>:                           x = 18

<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>:                     -3(18 + 4) + 5(18) = 24
  2. Add:                                      -3(22) + 5(18) = 24
  3. Multiply:                                -66 + 90 = 24
  4. Add:                                      24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 18 is the solution to the equation.

mr_godi [17]2 years ago
6 0
<h2>Answer:</h2>

-3(x + 4) + 5x = 24\\\\-3x - 12 + 5x = 24\\\\2x - 12 = 24\\\\2x = 36\\\\x = 18

The solution for x in this equation is <em>18</em>.<em> </em>

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