Math Problem Statement

Combine like terms to create an equivalent expression.

[-2.5\left(4x-3\right)]

Solution

To simplify the expression 2.5(4x3)-2.5(4x - 3), we'll distribute 2.5-2.5 to both terms inside the parentheses.

2.5(4x3)=(2.5×4x)+(2.5×3)-2.5(4x - 3) = (-2.5 \times 4x) + (-2.5 \times -3)

Now, calculate each part:

2.5×4x=10x-2.5 \times 4x = -10x 2.5×3=7.5-2.5 \times -3 = 7.5

Thus, the simplified expression is:

10x+7.5-10x + 7.5

Would you like more details or have any questions?


Here are some related problems for practice:

  1. Simplify: 3(2x5)3(2x - 5)
  2. Simplify: 4(5y+6)-4(5y + 6)
  3. Distribute and simplify: 6.5(3x2)6.5(3x - 2)
  4. Combine like terms: 7x+34x+8-7x + 3 - 4x + 8
  5. Simplify: 2.5(x4)+3x2.5(x - 4) + 3x

Tip: When distributing a negative number, always be cautious of the signs when multiplying.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 7-9