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Lina20 [59]
3 years ago
7

What is the solution to 6(3x +7) = -5(4x -3) - 49 ?​

Mathematics
2 answers:
zysi [14]3 years ago
6 0

Answer:

x = -2

Step-by-step explanation:

You would first distribute.

<u>6(3x + 7)</u> = <u>-5(4x - 3)</u> - 49 → 18x + 42 = -20x + 15 - 49

We can then calculate difference of 15 and 49.

18x + 42 = -20x <u>+ 15 - 49</u> → 18x + 42 = -20x -34

We can now move the variables to one side of the equation and the numbers on the other side.

18x + 20x + 42 - 42 = -20x + 20x - 34 - 42 → 38x = -76

Then, divide.

38x ÷ 38 = -76 ÷ 38 → x = -2

crimeas [40]3 years ago
6 0

Answer:

x = -2

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 Equation</u>

6(3x + 7) = -5(4x - 3) - 49

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

  1. Distribute:                              18x + 42 = -20x + 15 - 49
  2. Combine like terms:              18x + 42 = -20x - 34
  3. Add 20x on both sides:        38x + 42 = -34
  4. Isolate <em>x</em> term:                        38x = -76
  5. Isolate <em>x</em>:                                 x = -2
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