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What is the solution to this equation?

[tex]\[ 4x + 2(x + 6) = 36 \][/tex]

A. [tex]\[ x = 8 \][/tex]
B. [tex]\[ x = 4 \][/tex]
C. [tex]\[ x = 7 \][/tex]
D. [tex]\[ x = 5 \][/tex]

Sagot :

GinnyAnsweridn
To solve the equation [tex]\(4x + 2(x + 6) = 36\)[/tex], follow these steps:

1. Distribute [tex]\(2\)[/tex] into the terms inside the parentheses:
[tex]\[ 4x + 2(x + 6) = 4x + 2x + 12 \][/tex]

2. Combine like terms:
[tex]\[ 4x + 2x + 12 = 6x + 12 \][/tex]

3. Rewrite the equation:
[tex]\[ 6x + 12 = 36 \][/tex]

4. Isolate the variable term by subtracting 12 from both sides:
[tex]\[ 6x + 12 - 12 = 36 - 12 \][/tex]
[tex]\[ 6x = 24 \][/tex]

5. Solve for [tex]\(x\)[/tex] by dividing both sides by 6:
[tex]\[ x = \frac{24}{6} \][/tex]
[tex]\[ x = 4 \][/tex]

So, the solution to the equation [tex]\(4x + 2(x + 6) = 36\)[/tex] is [tex]\(\boxed{4}\)[/tex], which corresponds to answer choice B.
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