10( x + 1) = 2 x-7

Solve For x

Solve For x

Solve For x

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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

10x + 10 = 2x - 7

Add 7 to both sides

10x + 17 = 2x

Subtract 10x

17 = -8x, solution: x = -17/8

**Answer:**

x = -17/8

**General Formulas and Concepts:**

__Pre-Algebra__

Order of Operations: **BPEMDAS
**

- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction

- Left to Right

Equality Properties

**Step-by-step explanation:**

__Step 1: Define Equation__

10(x + 1) = 2x - 7

__Step 2: Solve for ____x__

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

__Step 3: Check__

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

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

Solve for e