What is the solution 8x-3(2x-4)=3(x-6)

x = 30

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

8x - 3(2x - 4) = 3(x - 6)

Step 2: Solve for x

Distribute:                                   8x - 6x + 12 = 3x - 18Combine like terms:                   2x + 12 = 3x - 18Subtract 2x on both sides:        12 = x - 18Add 18 to both sides:                 30 = xRewrite:                                       x = 30

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    8(30) - 3(2(30) - 4) = 3(30 - 6)Multiply:                        240 - 3(60 - 4) = 3(30 - 6)Subtract:                       240 - 3(56) = 3(24)Multiply:                        240 - 168 = 72Subtract:                       72 = 72