-1/8 (x - 24) + 1/2 (x + 4) = x + 15

x = -16

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

-1/8(x - 24) + 1/2(x + 4) = x + 15

Step 2: Solve for x

[Distributive Property] Distribute:                                                                    -1/8x + 3 + 1/2x + 2 = x + 15Combine like terms [Add]:                                                                               3/8x + 5 = x + 15[Subtraction Property of Equality] Subtract x on both sides:                         -5/8x + 5 = 15[Subtraction Property of Equality] Subtract 5 on both sides:                        -5/8x = 10[Division Property of Equality] Divide -5/8 on both sides:                             x = -16

Y= -2x-1 the negative in front of the 2 is because the slope is negative and the -1 is because it’s down 1 on the y axis.