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lesya692 [45]
2 years ago
5

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:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

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

<u>Step 2: Solve for </u><em><u>x</u></em>

  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

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  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.

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3 years ago
The ratio of boys to girls in the Science Club is 3.5. If there are 60 girls, how many boys are there?
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Answer:

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Step-by-step explanation:

                                                            3

Please write the ratio as 3:5 or as  --------

                                                             5

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3/8 of this number are boys.  This comes out to (3/8)(96) = 36 boys.

We could also solve this problem in the following manner:

 3          b

------ = ------- , where b represents the number of boys.

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