Answer quickly I'll give brainliest

3(x+2)-(2x-7)<(5x-1)-2(x+6)​

x > 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3(x + 2) - (2x - 7) < (5x - 1) - 2(x + 6)

Step 2: Solve for x

[Distributive Property] Distribute:                                                                    3x + 6 - 2x + 7 < 5x - 1 - 2x - 12Combine like terms:                                                                                         x + 13 < 3x - 13[Subtraction Property of Equality] Subtract x on both sides:                         13 < 2x - 13[Addition Property of Equality] Add 13 on both sides:                                   26 < 2x[Division Property of Equality] Divide 2 on both sides:                                  13 < xRewrite:                                                                                                             x > 13