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3 years ago

Five times the difference of twice a number and three, decreased by the sum of the number and eight, equals 13

Mathematics

2 answers:

denis23 [38]3 years ago

7 0

5(2x-3)-(x+8)=13
10x-15-x-8=13
9x-23=13
9x=36
x=4

rewona [7]3 years ago

4 0

Answer:

The number is 4.

Step-by-step explanation:

Let the number be = x

Five times the difference of twice a number and three can be written as $5(2x-3)$

Decreased by the sum of the number and eight, $(x+8)$

Hence complete expression becomes:

$5(2x-3)-(x +8)=13$

Now solving for x;

=> $10x -15- x -8 =13$

=> $9x- 23=13$

=> $9x= 36$

So we get x = 4

The number is 4.

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