Solve for X: X+8=3(x-7)-5

x = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Distributive Property

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

x + 8 = 3(x - 7) - 5

Step 2: Solve for x

Distribute 3:                                                                                                      x + 8 = 3x - 21 - 5Combine like terms:                                                                                       x + 8 = 3x - 26[Subtraction Property of Equality] Subtract x on both sides:                      8 = 2x - 26[Addition Property of Equality] Add 26 on both sides:                                34 = 2x[Division Property of Equality] Divide 2 on both sides:                                17 = xRewrite/Rearrange:                                                                                        x = 17

Cbottom left is the correct one.