Respuesta :

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Use distributive property
10x + 10 = 2x - 7
Add 7 to both sides
10x + 17 = 2x
Subtract 10x
17 = -8x, solution: x = -17/8
Space

Answer:

x = -17/8

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

10(x + 1) = 2x - 7

Step 2: Solve for x

  1. Distribute 10:                                10x + 10 = 2x - 7
  2. Subtract 2x on both sides:          8x + 10 = -7
  3. Subtract 10 on both sides:           8x = -17
  4. Divide 8 on both sides:                x = -17/8

Step 3: Check

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

  1. Substitute in x:                    10(-17/8 + 1) = 2(-17/8) - 7
  2. Multiply:                               10(-17/8 + 1) = -17/4 - 7
  3. Add:                                     10(-9/8) = -17/4 - 7
  4. Multiply:                               -45/4 = -17/4 - 7
  5. Subtract:                              -45/4 = -45/4

Here we see that -45/4 does indeed equal -45/4.

∴ x = -17/8 is the solution to the equation.

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