Question

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

Answer 1

Explanation:

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

4x-2=6x+12 subtract 4x from both sides

-2=2x+12 subtract 12

-14=2x divide by 2

x= -7

Answer 2

x = -7

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

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

Step 2: Solve for x

1. Distribute: 4x - 2 = 6x + 12
2. Subtract 4x on both sides: -2 = 2x + 12
3. Subtract 12 on both sides: -14 = 2x
4. Divide 2 on both sides: -7 = x
5. Rewrite: x = -7

Step 3: Check

Plug in x to verify it's a solution.

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

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

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