The sum of four times a number and seven is ten more than the number.

Let the unknown number be denoted by \( x \).

According to the problem, the sum of four times the number and seven is ten more than the number. This can be written as the following equation:

\[
4x + 7 = x + 10
\]

Now, let's solve for \( x \):

1. Subtract \( x \) from both sides:

\[
4x - x + 7 = 10
\]
\[
3x + 7 = 10
\]

2. Subtract 7 from both sides:

\[
3x = 3
\]

3. Divide both sides by 3:

\[
x = 1
\]

Thus, the number is \( x = 1 \).

### Do you want further details or have any questions?

Here are 5 related questions to practice:

1. If the sum of five times a number and eight is equal to twice the number plus fourteen, what is the number?
2. What is the number if three times a number minus four is equal to twice the number plus six?
3. Solve: The sum of seven times a number and nine equals twelve more than four times the number.
4. Find the number if twice the sum of a number and five is equal to the number plus twelve.
5. The difference between four times a number and nine is equal to twice the number plus three. What is the number?

### Tip:
When solving equations, remember to always perform the same operation on both sides to maintain equality.

Learn how to solve the linear equation 4x + 7 = x + 10 with step-by-step instructions. This problem focuses on key algebra concepts such as solving for an unknown and simplifying equations. Perfect 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