Respuesta :

Answer:

x=5

Step-by-step explanation:

1. Combine like terms to simplify the equation.

Combining like terms means to combine anything that has the same variable, degree, or no variable at all.

-3x and +6x are like terms, for example because they both have an x.

Add them together to get 3x.

2. Rewrite the equation as the simplified version of 3x-8=7.

3. Add 8 to both sides to cancel out 8 on the left side.

3x=15.

4. Divide by 3 to isolate x.

x=5

Space

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

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:

Step 1: Define equation

-3x - 8 + 6x = 7

Step 2: Solve for x

  1. Combine like terms:                    3x - 8 = 7
  2. Add 8 on both sides:                   3x = 15
  3. Divide 3 on both sides:               x = 5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

  1. Substitute:                    -3(5) - 8 + 6(5) = 7
  2. Multiply:                        -15 - 8 + 30 = 7
  3. Subtract:                       -23 + 30 = 7
  4. Add:                               7 = 7

Here we see that 7 does indeed equal 7.

∴ x = 5 is a solution of the equation.

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