Math Problem Statement

Solve for x in the equation z = 2(x + 2).

Solution

To solve for xx in the equation:

z=2(x+2)z = 2(x + 2)

Step-by-Step Solution:

  1. Distribute the 2 on the right-hand side: z=2x+4z = 2x + 4

  2. Isolate the xx-term by subtracting 4 from both sides: z4=2xz - 4 = 2x

  3. Solve for xx by dividing both sides by 2: x=z42x = \frac{z - 4}{2}

Final Answer:

x=z42x = \frac{z - 4}{2}


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Related Questions:

  1. Solve for xx when z=10z = 10.
  2. What happens when z=4z = 4? Solve for xx.
  3. Solve z=3(x+5)z = 3(x + 5) for xx.
  4. Rearrange z=2(x+y)z = 2(x + y) to solve for xx.
  5. Solve z=2x+3yz = 2x + 3y for xx in terms of zz and yy.

Tip:

Always perform operations on both sides of an equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for Variables

Formulas

z = 2(x + 2)
x = (z - 4) / 2

Theorems

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Suitable Grade Level

Grades 6-8