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lions [1.4K]
3 years ago
10

What is the value of x in the equation ? (image below)

Mathematics
2 answers:
djyliett [7]3 years ago
8 0

Answer:

x = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

2.5(6x - 4) = 10 + 4(1.5 + 0.5x)

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

  1. Distribute:                                   15x - 10 = 10 + 6 + 2x
  2. Combine like terms:                   15x - 10 = 16 + 2x
  3. Subtract 2x on both sides:        13x - 10 = 16
  4. Add 10 to both sides:                 13x = 26
  5. Divide both sides by 13:             x = 2

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    2.5(6(2) - 4) = 10 + 4(1.5 + 0.5(2))
  2. Multiply:                               2.5(12 - 4) = 10 + 4(1.5 + 1)
  3. Subtract/Add:                      2.5(8) = 10 + 4(2.5)
  4. Multiply:                               20 = 10 + 10
  5. Add:                                     20 = 20

Here we see that 20 does indeed equal 20.

∴ x = 2 is a solution of the equation.

aev [14]3 years ago
6 0

Answer: 2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]

15x-10=0+6+2x [Solve]

15x-10=16+2x [Convey the terms]

15x-2x=16+10 [Add up the same terms and calculate]

13x=26 [Divide both parts]

x=2

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