2+3(-7x-1)=-5(-7)+8

Solution for 2+3(-7x-1)=-5(-7)+8 equation:

Simplifying
2 + 3(-7x + -1) = -5(-7) + 8

Reorder the terms:
2 + 3(-1 + -7x) = -5(-7) + 8
2 + (-1 * 3 + -7x * 3) = -5(-7) + 8
2 + (-3 + -21x) = -5(-7) + 8

Combine like terms: 2 + -3 = -1
-1 + -21x = -5(-7) + 8

Multiply -5 * -7
-1 + -21x = 35 + 8

Combine like terms: 35 + 8 = 43
-1 + -21x = 43

Solving
-1 + -21x = 43

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -21x = 43 + 1

Combine like terms: -1 + 1 = 0
0 + -21x = 43 + 1
-21x = 43 + 1

Combine like terms: 43 + 1 = 44
-21x = 44

Divide each side by '-21'.
x = -2.095238095

Simplifying
x = -2.095238095