5(1-7x)-2=-3-9(x+8)

Solution for 5(1-7x)-2=-3-9(x+8) equation:

Simplifying
5(1 + -7x) + -2 = -3 + -9(x + 8)
(1 * 5 + -7x * 5) + -2 = -3 + -9(x + 8)
(5 + -35x) + -2 = -3 + -9(x + 8)

Reorder the terms:
5 + -2 + -35x = -3 + -9(x + 8)

Combine like terms: 5 + -2 = 3
3 + -35x = -3 + -9(x + 8)

Reorder the terms:
3 + -35x = -3 + -9(8 + x)
3 + -35x = -3 + (8 * -9 + x * -9)
3 + -35x = -3 + (-72 + -9x)

Combine like terms: -3 + -72 = -75
3 + -35x = -75 + -9x

Solving
3 + -35x = -75 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
3 + -35x + 9x = -75 + -9x + 9x

Combine like terms: -35x + 9x = -26x
3 + -26x = -75 + -9x + 9x

Combine like terms: -9x + 9x = 0
3 + -26x = -75 + 0
3 + -26x = -75

Add '-3' to each side of the equation.
3 + -3 + -26x = -75 + -3

Combine like terms: 3 + -3 = 0
0 + -26x = -75 + -3
-26x = -75 + -3

Combine like terms: -75 + -3 = -78
-26x = -78

Divide each side by '-26'.
x = 3

Simplifying
x = 3