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Sagot :
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]
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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