Respuesta :
Answer:
x = 22.5
Step-by-step explanation:
Step 1: Write equation
2.4(x - 10) = 8 + 1.2x - 5
Step 2: Solve for x
- Distribute 2.4: 2.4x - 24 = 8 + 1.2x - 5
- Combine like terms: 2.4x - 24 = 1.2x + 3
- Subtract 1.2x on both sides: 1.2x - 24 = 3
- Add 24 to both sides: 1.2x = 27
- 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
Answer:
x=22.5
Step-by-step 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