Math Problem Statement

Solve the following two-step equation: 4x + 3 = 15

Solution

The equation presented in the image is:

4x+3=154x + 3 = 15

To solve this two-step equation:

Step 1: Isolate the variable term

We first need to subtract 3 from both sides to get rid of the constant on the left side:

4x+33=1534x + 3 - 3 = 15 - 3

This simplifies to:

4x=124x = 12

Step 2: Solve for xx

Now, divide both sides by 4 to isolate xx:

4x4=124\frac{4x}{4} = \frac{12}{4}

This simplifies to:

x=3x = 3

So, the solution is x=3x = 3.

Would you like further explanation on this? Here are some related questions for additional practice:

  1. Solve: 5x+4=245x + 4 = 24
  2. Solve: 7x5=307x - 5 = 30
  3. Solve: 2x+8=182x + 8 = 18
  4. Solve: 6x9=156x - 9 = 15
  5. Solve: 3x+7=223x + 7 = 22

Tip: Always reverse the order of operations when solving equations, starting by undoing addition or subtraction, followed by multiplication or division.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic Linear Equation: ax + b = c

Theorems

Inverse operations to solve linear equations

Suitable Grade Level

Grades 6-8