Questions: Combine like terms (simplify). (2x-4)+(x-3) (2x-4)-(-x-3) (2x-4)+(-x+3) (2x-4)-(x+3)

Solution Steps

To simplify each expression, we need to combine like terms. This involves adding or subtracting the coefficients of the same variable and combining constant terms.

1. For \((2x - 4) + (x - 3)\), combine the \(x\) terms and the constant terms.
2. For \((2x - 4) - (-x - 3)\), distribute the negative sign and then combine like terms.
3. For \((2x - 4) + (-x + 3)\), combine the \(x\) terms and the constant terms.

To simplify \((2x - 4) + (x - 3)\), combine the like terms:

• Combine the \(x\) terms: \(2x + x = 3x\)
• Combine the constant terms: \(-4 - 3 = -7\)

The simplified expression is \(3x - 7\).

To simplify \((2x - 4) - (-x - 3)\), first distribute the negative sign:

• The expression becomes \((2x - 4) + x + 3\)

Now, combine the like terms:

• Combine the \(x\) terms: \(2x + x = 3x\)
• Combine the constant terms: \(-4 + 3 = -1\)

The simplified expression is \(3x - 1\).

To simplify \((2x - 4) + (-x + 3)\), combine the like terms:

• Combine the \(x\) terms: \(2x - x = 1x\)
• Combine the constant terms: \(-4 + 3 = -1\)

The simplified expression is \(x - 1\).

Final Answer