Answered

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Write an equation and solve.

A number increased by 13 is 2 times the sum of the number and 2.

The equation is [tex]x + 13 = 2(x + 2)[/tex].

(Type an equation using [tex]x[/tex] as the variable.)

The solution is [tex]x = \_\_\_\_]

Sagot :

GinnyAnsweridn
Certainly! Let's solve the given equation step by step.

1. The initial equation is:
[tex]\[ x + 13 = 2(x + 2) \][/tex]

2. First, distribute the 2 on the right side:
[tex]\[ x + 13 = 2x + 4 \][/tex]

3. Next, we want to get all the terms involving [tex]\( x \)[/tex] on one side and the constants on the other. Subtract [tex]\( x \)[/tex] from both sides:
[tex]\[ 13 = x + 4 \][/tex]

4. Now, subtract 4 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ 13 - 4 = x \][/tex]
[tex]\[ 9 = x \][/tex]

So, the solution to the equation is:
[tex]\[ x = 9 \][/tex]
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