# Five times a number is the same as 30 more than 8 times the number. Find the number. If n is "the...

## Question:

Five times a number is the same as 30 more than 8 times the number.

Find the number.

If n is "the number," what equation could be used to solve for the number?

The given statement is, "Five times a number is the same as 30 more than 8 times the number".

Let us assume the number to be {eq}n {/eq}.

Then the above statement turns into the equation:

$$\boxed{\mathbf{5x = 30+8x}}$$

This is the required equation.

Finding its solution:

Subtracting {eq}8x {/eq} from both sides of the above equation:

$$-3x=30$$

Dividing both sides by {eq}-3 {/eq},

$$x= \boxed{\mathbf{-10}}$$

Solving Word Problems with Algebraic Subtraction Expressions

from 6th-8th Grade Math: Practice & Review

Chapter 32 / Lesson 9
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