1/2(x-106)=12+7x
solve for x

x = -10

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

1/2(x - 106) = 12 + 7x

Step 2: Solve for x

[Multiplication Property of Equality] Multiply 2 on both sides:                      x - 106 = 2(12 + 7x)[Distributive Property] Distribute 2:                                                                 x - 106 = 24 + 14x[Subtraction Property of Equality] Subtract x on both sides:                         -106 = 24 + 13x[Subtraction Property of Equality] Subtract 24 on both sides:                      -130 = 13x[Division Property of Equality] Divide 13 on both sides:                                -10 = xRewrite:                                                                                                             x = -10

You likely wont by guessing sadly

Step-by-step explanation: