Math Problem Statement

4(x - 3) = -4.

Solution

Let's solve the equation:

Given equation:

4(x3)=44(x - 3) = -4

Step 1: Distribute the 44 on the left-hand side.

4x12=44x - 12 = -4

Step 2: Add 1212 to both sides to isolate the 4x4x term.

4x=4+124x = -4 + 12 4x=84x = 8

Step 3: Divide both sides by 44 to solve for xx.

x=84x = \frac{8}{4} x=2x = 2

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

Would you like more details on any step, or do you have any questions?

Here are 5 related questions for further practice:

  1. Solve 3(x+4)=93(x + 4) = 9.
  2. Solve 5(x2)=105(x - 2) = -10.
  3. Solve 2(x+5)4=102(x + 5) - 4 = 10.
  4. Solve 6(x1)=12-6(x - 1) = 12.
  5. Solve 7(x+2)=217(x + 2) = 21.

Tip: Always remember to perform the same operation on both sides of an equation to keep it balanced.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Distributive Property
Solving Equations

Formulas

Distributive Property: a(b + c) = ab + ac
Basic linear equation solving: ax + b = c

Theorems

Properties of Equality
Distributive Property

Suitable Grade Level

Grades 6-8