Question

What is 2.4(x-10)=8+1.2x-5

Answer 1

x=22.5

Explanation:

Step 1: Simplify both sides of the equation.

2.4(x−10)=8+1.2x−5

(2.4)(x)+(2.4)(−10)=8+1.2x+−5(Distribute)

2.4x+−24=8+1.2x+−5

2.4x−24=(1.2x)+(8+−5)(Combine Like Terms)

2.4x−24=1.2x+3

2.4x−24=1.2x+3

Step 2: Subtract 1.2x from both sides.

2.4x−24−1.2x=1.2x+3−1.2x

1.2x−24=3

Step 3: Add 24 to both sides.

1.2x−24+24=3+24

1.2x=27

Step 4: Divide both sides by 1.2.

1.2x

1.2

=

27

1.2

x=22.5

Answer:

x=22.5

Answer 2

x = 22.5

Explanation:

Step 1: Write equation

2.4(x - 10) = 8 + 1.2x - 5

Step 2: Solve for x

1. Distribute 2.4: 2.4x - 24 = 8 + 1.2x - 5
2. Combine like terms: 2.4x - 24 = 1.2x + 3
3. Subtract 1.2x on both sides: 1.2x - 24 = 3
4. Add 24 to both sides: 1.2x = 27
5. Divide both sides by 1.2: x = 22.5

Step 3: Check

Plug in x to verify it's a solution.

2.4(22.5 - 10) = 8 + 1.2(22.5) - 5

2.4(12.5) = 8 + 27 - 5

30 = 8 + 22

30 = 30