Question

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

Answer 1

Answer: 2

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

Answer 2

x = 2

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

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

Step 2: Solve for x

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

Step 3: Check

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

1. Substitute in x: 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.