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2 years ago

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

Mathematics

2 answers:

likoan [24]2 years ago

8 0

Answer:

Step-by-step 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

maksim [4K]2 years ago

7 0

Answer:

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

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

Step 2: Solve for x

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

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