Question

2(x-1)+3(x+1)=4(x+4)

Answer 1

x = 15

Explanation:

Simplifying the expression:

• 2(x - 1) + 3(x + 1) = 4(x + 4)
• 2x - 2 + 3(x + 1) = 4(x + 4)
• 2x - 2 + 3(x + 1) = 4(x + 4)
• 2x - 2 + 3x + 3 = 4(x + 4)
• 2x - 2 + 3x + 3 = 4(x + 4)
• 2x - 2 + 3x + 3 = 4x + 16

Add the numbers:

• 2x - 2 + 3x + 3 = 4x + 16
• 2x + 3x - 2 + 3 = 4x + 16
• 2x + 3x + 1 = 4x + 16

Combine like terms:

• 2x + 3x + 1 = 4x + 16
• 5x + 1 = 4x + 16

Subtract 1 from both sides:

• 5x + 1 - 1 = 4x + 16 - 1
• 5x = 4x + 15

Subtract 4x from both sides:

• 5x - 4x = 4x - 4x + 15
• x = 15

Answer 2

1. Distribute. Everything. 2x - 2 + 3x + 3 = 4x + 16.
2. Add your like terms. (must be on the same side) 5x + 1 = 4x + 16
3. Single out x by subtracting 1. 5x = 4x + 16 - 1.
4. Simplify. 5x = 4x + 15
5. Subtract 4x from both sides to combine like terms. 5x - 4x = 15.
6. Simplify. 1x = 15.

That means your final answer would be x = 15. If you were to input 15 into every x, it would simplify to 76 = 76, which means x is definitely 15.