We need to solve the algebraic expression:
-2(x+8) + 6(5 + (_)x) = 10x + 14
Expanding the operations and grouping similar terms:
-2x -16 + 30 + 6(_)x = 10x + 14
-2x + 6(_)x -16 + 30 = 10x + 14
To solve this, we need to equaling each similar term at both sides of the equation:
-2x + 6(_)x = 10x [1]
-16 + 30 = 14 [2]
14 = 14
We need to solve the following equation:
-2x + 6(_)x = 10x
We can rewrite the previous equation as follows:
-2 + 6x = 10
6x = 10 + 2
x = (12/6)
x = 2
Checking the previous result, we have:
-2 + 6(2) = 10
-2 + 12 = 10
10 = 10
Then the value for the blank in the question is 2.
Checking equation [1]:
-2x + 6(2)x = 10x
-2x + 12x = 10x
10x = 10x
Therefore, we have then:
10x + 14 = 10x + 14