-8x+6(x+7)=1
expand that part 6(x+7)
subtract 42 from both sides.
expand that part 6(x+7)
subtract 42 from both sides.
To expand the expression 6(x+7), you use the distributive property. You multiply the coefficient 6 by each term inside the parentheses.
6(x+7) = 6*x + 6*7
= 6x + 42
Now let's proceed with subtracting 42 from both sides of the equation -8x + 6(x+7) = 1.
-8x + 6x + 42 = 1
Combining like terms on the left side of the equation, we have:
-2x + 42 = 1
Now you can solve for x by isolating the variable term on one side of the equation. To do this, you would subtract 42 from both sides of the equation:
-2x + 42 - 42 = 1 - 42
-2x = -41
Finally, divide both sides of the equation by -2 to get the solution for x:
x = -41 / -2
x = 20.5
So, the solution to the equation -8x + 6(x+7) = 1 after expanding 6(x+7) and subtracting 42 from both sides is x = 20.5.