Answer :
Sure! Let's solve the equation step-by-step.
Given equation:
[tex]\[ 7(x - 4) = 14 \][/tex]
1. First, distribute the 7 on the left-hand side:
[tex]\[ 7(x - 4) = 7 \cdot x - 7 \cdot 4 \][/tex]
[tex]\[ 7x - 28 = 14 \][/tex]
2. Next, we need to isolate the [tex]\(x\)[/tex] term. To do this, add 28 to both sides of the equation to move the constant term from the left side to the right side:
[tex]\[ 7x - 28 + 28 = 14 + 28 \][/tex]
[tex]\[ 7x = 42 \][/tex]
3. Finally, to solve for [tex]\(x\)[/tex], divide both sides of the equation by 7:
[tex]\[ \frac{7x}{7} = \frac{42}{7} \][/tex]
[tex]\[ x = 6 \][/tex]
So, the solution to the equation [tex]\( 7(x - 4) = 14 \)[/tex] is [tex]\( x = 6 \)[/tex].
Thus, the correct answer is:
a) [tex]\( 6 \)[/tex]
Given equation:
[tex]\[ 7(x - 4) = 14 \][/tex]
1. First, distribute the 7 on the left-hand side:
[tex]\[ 7(x - 4) = 7 \cdot x - 7 \cdot 4 \][/tex]
[tex]\[ 7x - 28 = 14 \][/tex]
2. Next, we need to isolate the [tex]\(x\)[/tex] term. To do this, add 28 to both sides of the equation to move the constant term from the left side to the right side:
[tex]\[ 7x - 28 + 28 = 14 + 28 \][/tex]
[tex]\[ 7x = 42 \][/tex]
3. Finally, to solve for [tex]\(x\)[/tex], divide both sides of the equation by 7:
[tex]\[ \frac{7x}{7} = \frac{42}{7} \][/tex]
[tex]\[ x = 6 \][/tex]
So, the solution to the equation [tex]\( 7(x - 4) = 14 \)[/tex] is [tex]\( x = 6 \)[/tex].
Thus, the correct answer is:
a) [tex]\( 6 \)[/tex]
