We are given the equation:

\[
2(x + 14) + x = 70
\]

### Step 1: Expand the equation
Distribute the \(2\) on the left-hand side:

\[
2x + 28 + x = 70
\]

### Step 2: Combine like terms
Combine the \(2x\) and \(x\) on the left-hand side:

\[
3x + 28 = 70
\]

### Step 3: Isolate the \(x\)-term
Subtract \(28\) from both sides to isolate the terms with \(x\):

\[
3x = 70 - 28
\]

\[
3x = 42
\]

### Step 4: Solve for \(x\)
Now, divide both sides by \(3\) to find \(x\):

\[
x = \frac{42}{3} = 14
\]

### Final Answer:
\[
x = 14
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. Solve \(3(x + 5) + 2x = 40\).
2. Solve \(4(x + 10) - 3x = 50\).
3. Solve \(5(x - 2) + 3x = 60\).
4. Solve \(7x + 2(x + 3) = 45\).
5. Solve \(x + 5x + 10 = 36\).

**Tip**: When solving equations, always simplify both sides as much as possible before solving for the variable.

Learn how to solve the linear equation 2(x + 14) + x = 70 with a detailed step-by-step solution. This problem covers key algebraic concepts like combining like terms, using the distributive property, and isolating variables. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation