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What is the solution for [tex]\( x \)[/tex] in the equation?

[tex]\[ 9x - 20 - 4x = 40 \][/tex]

A. [tex]\( x = 12 \)[/tex]

B. [tex]\( x = \frac{1}{4} \)[/tex]

C. [tex]\( x = \frac{1}{12} \)[/tex]

D. [tex]\( x = 4 \)[/tex]

Sagot :

GinnyAnsweridn
Let's solve the equation step-by-step:

Given the equation:
[tex]\[ 9x - 20 - 4x = 40 \][/tex]

1. Combine like terms on the left-hand side. The terms involving [tex]\( x \)[/tex] are [tex]\( 9x \)[/tex] and [tex]\( -4x \)[/tex]:
[tex]\[ 9x - 4x - 20 = 40 \][/tex]
[tex]\[ (9 - 4)x - 20 = 40 \][/tex]
[tex]\[ 5x - 20 = 40 \][/tex]

2. Add 20 to both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 5x - 20 + 20 = 40 + 20 \][/tex]
[tex]\[ 5x = 60 \][/tex]

3. Divide both sides by 5 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{60}{5} \][/tex]
[tex]\[ x = 12 \][/tex]

So, the solution for [tex]\( x \)[/tex] is:
[tex]\[ x = 12 \][/tex]

Among the given options:
- [tex]\( x = 12 \)[/tex]
- [tex]\( x = \frac{1}{4} \)[/tex]
- [tex]\( x = \frac{1}{12} \)[/tex]
- [tex]\( x = 4 \)[/tex]

The correct answer is [tex]\( x = 12 \)[/tex].
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