We can simply evaluate the given expression 2 + 5 * 6 - 7 * 8 / 4 + 6 by using the DMAS rule. According to the DMAS rule, the division is solved first then multiplication, addition, and subtraction in the last. Hence, the expression 2 + 5 * 6 - 7 * 8 / 4 + 6 can be evaluated as 24.
Answers & Comments
Verified answer
The expression can be simplified as follows:8 - 5 ( 3 - 2 x ) = x - 4 ( x + 9 )
Expanding the parenthesis on the right side:
8 - 5 ( 3 - 2 x ) = x - 4x - 36
Combining like terms on the right side:
8 - 5 ( 3 - 2 x ) = -3x - 36
Expanding the parenthesis on the left side:
8 - 15 + 10x = -3x - 36
Combining like terms:
-7 + 10x = -3x - 36
Adding 3x to both sides:
-7 + 13x = -36
Adding 36 to both sides:
29 + 13x = 0
Subtracting 29 from both sides:
13x = -29
Dividing both sides by 13:
x = -29/13
To check the result, substitute x = -29/13 back into the original equation:
8 - 5 ( 3 - 2 x ) = x - 4 ( x + 9 )
Expanding the parenthesis on the right side:
8 - 5 ( 3 - 2 x ) = x - 4x - 36
Expanding the parenthesis on the left side:
8 - 15 + 10x = -3x - 36
Combining like terms:
-7 + 10x = -3x - 36
Adding 3x to both sides:
-7 + 13x = -36
Adding 36 to both sides:
29 + 13x = 0
Since both sides are equal, the result is correct.
Step-by-step explanation: