Math Problem Statement

-12\frac12x-4=8

Solution

To solve the equation:

12x4=8\frac{1}{2}x - 4 = 8

Step 1: Add 4 to both sides to isolate the term with xx:

12x4+4=8+4\frac{1}{2}x - 4 + 4 = 8 + 4

This simplifies to:

12x=12\frac{1}{2}x = 12

Step 2: Multiply both sides of the equation by 2 to cancel out the fraction:

2×12x=12×22 \times \frac{1}{2}x = 12 \times 2

This simplifies to:

x=24x = 24

Final Answer:

x=24x = 24

Would you like further explanation, or have any questions on this? Here are 5 related problems:

  1. Solve 13x5=10\frac{1}{3}x - 5 = 10.
  2. Solve 14x+7=3\frac{1}{4}x + 7 = 3.
  3. Solve 3x4=53x - 4 = 5.
  4. Solve 25x6=14\frac{2}{5}x - 6 = 14.
  5. Solve 12(x+8)=10\frac{1}{2}(x + 8) = 10.

Tip: When dealing with fractions in equations, it's often useful to multiply both sides by the denominator to eliminate the fraction early on!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving Equations

Formulas

ax + b = c

Theorems

Properties of Equality

Suitable Grade Level

Grades 6-8