Math Problem Statement

4(x - 3) = -4.

Solution

Let's solve the equation step by step:

  1. Distribute the 44 on the left side: 4(x3)=4x124(x - 3) = 4x - 12 So, the equation becomes: 4x12=44x - 12 = -4

  2. Add 1212 to both sides to isolate the 4x4x term: 4x12+12=4+124x - 12 + 12 = -4 + 12 Simplifying: 4x=84x = 8

  3. Divide both sides by 44 to solve for xx: x=84=2x = \frac{8}{4} = 2

Thus, the solution is: x=2x = 2

Would you like more details or have any questions?

Here are some related questions for further practice:

  1. Solve: 5(x+4)=105(x + 4) = 10
  2. Solve: 2(x5)=62(x - 5) = 6
  3. Solve: 6(x+2)=126(x + 2) = -12
  4. Solve: 3(x7)=153(x - 7) = 15
  5. Solve: 7x14=07x - 14 = 0

Tip: Always distribute the number outside the parentheses first before solving for the variable!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Distributive Property

Formulas

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

Theorems

Basic Algebraic Manipulation
Equality Principle

Suitable Grade Level

Grades 6-8