Math Problem Statement

g = -4x + 3 for x

Solution

To solve the equation g=4x+3g = -4x + 3 for xx, follow these steps:

  1. Subtract 3 from both sides to isolate the term with xx: g3=4xg - 3 = -4x

  2. Divide both sides of the equation by 4-4 to solve for xx: x=g34x = \frac{g - 3}{-4}

  3. Simplify the expression if needed:

    \quad \text{or} \quad x = \frac{3 - g}{4}$$

Thus, the solution for xx is: x=3g4x = \frac{3 - g}{4}

Would you like more details or have any questions about this solution?


Here are 5 related questions you can explore:

  1. What is the value of xx if g=7g = 7?
  2. How would you solve the equation g=kx+3g = -kx + 3 for xx?
  3. What happens to xx as gg increases?
  4. How would you express gg in terms of xx?
  5. What is the value of xx when g=0g = 0?

Tip: When solving for a variable, ensure you perform inverse operations in the correct order: addition/subtraction first, then multiplication/division.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Solving Equations
Algebra

Formulas

Linear equation formula y = mx + c

Theorems

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Suitable Grade Level

Grades 7-9