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What is the solution to this equation?

[tex]\[ 4x - 6 + 2x = 18 \][/tex]

A. [tex]\( x = 12 \)[/tex]
B. [tex]\( x = 2 \)[/tex]
C. [tex]\( x = 4 \)[/tex]
D. [tex]\( x = 6 \)[/tex]



Answer :

GinnyAnswer
Sure, let's solve the equation step by step.

The given equation is:

[tex]\[ 4x - 6 + 2x = 18 \][/tex]

1. Combine like terms on the left side:

We have two terms involving [tex]\( x \)[/tex]: [tex]\( 4x \)[/tex] and [tex]\( 2x \)[/tex]. Adding these together, we get:

[tex]\[ (4x + 2x) - 6 = 18 \][/tex]

Simplifying inside the parentheses:

[tex]\[ 6x - 6 = 18 \][/tex]

2. Isolate the variable term:

To isolate the term involving [tex]\( x \)[/tex], we need to get rid of the constant term [tex]\(-6\)[/tex] on the left side. We do this by adding 6 to both sides of the equation:

[tex]\[ 6x - 6 + 6 = 18 + 6 \][/tex]

Simplifying, we get:

[tex]\[ 6x = 24 \][/tex]

3. Solve for [tex]\( x \)[/tex]:

To find the value of [tex]\( x \)[/tex], we divide both sides of the equation by 6:

[tex]\[ \frac{6x}{6} = \frac{24}{6} \][/tex]

Simplifying, we get:

[tex]\[ x = 4 \][/tex]

So, the solution to the equation [tex]\( 4x - 6 + 2x = 18 \)[/tex] is:

[tex]\[ x = 4 \][/tex]

Therefore, the correct answer is:

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

Answer:

C. x=4

Step-by-step explanation:

To solve the equation 4x - 6 + 2x = 18, follow these steps:

1. Combine like terms on the left side:

4x - 6 + 2x = 18

6x - 6 = 18

2. Add 6 to both sides to isolate the term with

6x - 6 + 6 = 18 + 6

6x = 24

Divide both sides by 6 to solve for x:

6x / 6 = 24 / 6
x=4

I hope this helps :)

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