Can you guys please help me step by step ?2(2x-1)=6(x+2)

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

2(2x - 1) = 6(x + 2)

Step 2: Solve for x

Distribute:                                     4x - 2 = 6x + 12Subtract 4x on both sides:          -2 = 2x + 12Subtract 12 on both sides:           -14 = 2xDivide 2 on both sides:                -7 = xRewrite:                                         x = -7

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    2(2(-7) - 1) = 6(-7 + 2)Multiply:                        2(-14 - 1) = 6(-7 + 2)Subtract/Add:               2(-15) = 6(-5)Multiply:                        -30 = -30

Here we see that -30 does indeed equal -30.

∴ x = -7 is a solution of the equation.