Let's break down this problem step-by-step!
- Substitute the value of x: We are given that $$x=4$$. We need to substitute this value into the expression:
\[ |8(4)+6|+2∙|6-8(4)| \] - Calculate the values inside the absolute value:
First absolute value: $$8(4)+6 = 32+6 = 38$$.
Second absolute value: $$6-8(4) = 6-32 = -26$$.
So the expression becomes:
\[ |38|+2∙|-26| \] - Evaluate the absolute values: The absolute value of a number is its distance from zero, so it's always positive.
$$|38| = 38$$
$$|-26| = 26$$
The expression is now:
\[ 38 + 2 ∙ 26 \] - Perform the multiplication:
$$2 ∙ 26 = 52$$.
The expression is now:
\[ 38 + 52 \] - Perform the addition:
$$38 + 52 = 90$$.
Ответ: 90