Let's solve the equation step by step:
[tex]\[ 4(x - 8) + 10 = -10 \][/tex]
1. Distribute the 4 inside the parenthesis:
[tex]\[ 4x - 32 + 10 = -10 \][/tex]
2. Combine like terms on the left-hand side:
[tex]\[ 4x - 22 = -10 \][/tex]
3. Isolate the term with the variable (4x) by adding 22 to both sides:
[tex]\[ 4x - 22 + 22 = -10 + 22 \][/tex]
[tex]\[ 4x = 12 \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 4:
[tex]\[ x = \frac{12}{4} \][/tex]
[tex]\[ x = 3 \][/tex]
Thus, the solution to the equation [tex]\( 4(x - 8) + 10 = -10 \)[/tex] is [tex]\( x = 3 \)[/tex].
Therefore, the correct answer is:
A. [tex]\( x = 3 \)[/tex]
