6(1-7x)-8(7x+5)=40

Solution for 6(1-7x)-8(7x+5)=40 equation:

Simplifying
6(1 + -7x) + -8(7x + 5) = 40
(1 * 6 + -7x * 6) + -8(7x + 5) = 40
(6 + -42x) + -8(7x + 5) = 40

Reorder the terms:
6 + -42x + -8(5 + 7x) = 40
6 + -42x + (5 * -8 + 7x * -8) = 40
6 + -42x + (-40 + -56x) = 40

Reorder the terms:
6 + -40 + -42x + -56x = 40

Combine like terms: 6 + -40 = -34
-34 + -42x + -56x = 40

Combine like terms: -42x + -56x = -98x
-34 + -98x = 40

Solving
-34 + -98x = 40

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + -98x = 40 + 34

Combine like terms: -34 + 34 = 0
0 + -98x = 40 + 34
-98x = 40 + 34

Combine like terms: 40 + 34 = 74
-98x = 74

Divide each side by '-98'.
x = -0.7551020408

Simplifying
x = -0.7551020408