10( x + 1) = 2 x-7
Solve For x

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

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 - 7Subtract 2x on both sides:          8x + 10 = -7Subtract 10 on both sides:           8x = -17Divide 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) - 7Multiply:                               10(-17/8 + 1) = -17/4 - 7Add:                                     10(-9/8) = -17/4 - 7Multiply:                               -45/4 = -17/4 - 7Subtract:                              -45/4 = -45/4

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

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