The given expression is:
[tex]2+4(-6)-3(5)[/tex]
Recall the acronym for the order of operations, PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction.
Follow this order to evaluate the given expression.
Notice that the operations involved here are, Multiplication, Addition, and Subtraction (listed as in the order of operations).
So start with multiplication:
[tex]\begin{gathered} 2+4(-6)-3(5)=2+(-24)-15 \\ \end{gathered}[/tex]
Since the positive sign when multiplied by a negative sign gives a negative sign, it follows that the expression simplifies to:
[tex]2-24-15[/tex]
Subtract the numbers:
[tex]2-24-15=2-9=-7[/tex]
Hence, the value of the given expression is -7.
