Solve for x -5(-x+1)-3x-1=-12

x = -2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

x - 5(-x + 1) - 3x - 1 = -12

Step 2: Solve for x

Distribute -5:                                   x + 5x - 5 - 3x - 1 = -12Combine like terms:                       3x - 6 = -12Add 6 to both sides:                       3x = -6Divide 3 on both sides:                  x = -2

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         -2 - 5(-(-2) + 1) - 3(-2) - 1 = -12Multiply:                             -2 - 5(2 + 1) + 6 - 1 = -12Add:                                   -2 - 5(3) + 6 - 1 = -12Multiply:                             -2 - 15 + 6 - 1 = -12Subtract:                            -17 + 6 - 1 = -12Add:                                   -11 - 1 = -12Subtract:                            -12 = -12