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3 years ago

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:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

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

Step 2: Solve for x

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

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 2.5(6(2) - 4) = 10 + 4(1.5 + 0.5(2))
Multiply: 2.5(12 - 4) = 10 + 4(1.5 + 1)
Subtract/Add: 2.5(8) = 10 + 4(2.5)
Multiply: 20 = 10 + 10
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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Step-by-step explanation:

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Formulas needed:
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R
M

S
B
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2 years ago

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SIZIF [17.4K]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Show different ways to make 25,302

ozzi

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2 years ago