Math Problem Statement

Solve the equation 2x+3 = 7. What is the solution?

Solution

To solve the equation 2x+3=72x + 3 = 7, follow these steps:

  1. Subtract 3 from both sides to isolate the term with xx: 2x+33=732x + 3 - 3 = 7 - 3 Simplifying, we get: 2x=42x = 4

  2. Divide both sides by 2 to solve for xx: 2x2=42\frac{2x}{2} = \frac{4}{2} Simplifying, we get: x=2x = 2

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

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

Here are 5 related questions you might find helpful:

  1. How do you solve the equation 3x+5=143x + 5 = 14?
  2. What steps are necessary to solve an equation with fractions, like 32x+1=4\frac{3}{2}x + 1 = 4?
  3. How can you solve an equation with a negative coefficient, such as 2x+3=7-2x + 3 = 7?
  4. What is the general method for solving an equation with parentheses, like 2(x+3)=102(x + 3) = 10?
  5. How can you verify the solution of an equation?

Tip: When solving equations, always simplify each side as much as possible before performing operations to isolate the variable.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation formula ax + b = c

Theorems

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Suitable Grade Level

Grades 6-8