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Exercise 1

Solve the equations below:

(a) [tex]\( 2(x - 3) = 12 \)[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\(2(x - 3) = 12\)[/tex], follow these steps:

1. Distribute the 2 on the left side:

[tex]\[ 2(x - 3) = 2 \cdot x - 2 \cdot 3 \][/tex]
[tex]\[ 2(x - 3) = 2x - 6 \][/tex]

So the equation now is:
[tex]\[ 2x - 6 = 12 \][/tex]

2. Add 6 to both sides to isolate the term with [tex]\(x\)[/tex]:

[tex]\[ 2x - 6 + 6 = 12 + 6 \][/tex]
[tex]\[ 2x = 18 \][/tex]

3. Divide both sides of the equation by 2 to solve for [tex]\(x\)[/tex]:

[tex]\[ \frac{2x}{2} = \frac{18}{2} \][/tex]
[tex]\[ x = 9 \][/tex]

Thus, the solution to the equation [tex]\(2(x - 3) = 12\)[/tex] is [tex]\( x = 9 \)[/tex].
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