Sure, let's solve the equation step-by-step to find the value of [tex]\( x \)[/tex].
Given the equation:
[tex]\[ 2(1 + 10x) = 52 \][/tex]
1. Apply the distributive property to eliminate the parentheses:
[tex]\[ 2 \cdot 1 + 2 \cdot 10x = 52 \][/tex]
[tex]\[ 2 + 20x = 52 \][/tex]
2. Subtract 2 from both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 20x = 52 - 2 \][/tex]
[tex]\[ 20x = 50 \][/tex]
3. Divide both sides by 20 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{50}{20} \][/tex]
4. Simplify the fraction:
[tex]\[ x = 2.5 \][/tex]
Therefore, the value of [tex]\( x \)[/tex] is:
[tex]\[ x = 2.5 \][/tex]
