3(x+1)-4(x-8)=-1

Solution for 3(x+1)-4(x-8)=-1 equation:

Simplifying
3(x + 1) + -4(x + -8) = -1

Reorder the terms:
3(1 + x) + -4(x + -8) = -1
(1 * 3 + x * 3) + -4(x + -8) = -1
(3 + 3x) + -4(x + -8) = -1

Reorder the terms:
3 + 3x + -4(-8 + x) = -1
3 + 3x + (-8 * -4 + x * -4) = -1
3 + 3x + (32 + -4x) = -1

Reorder the terms:
3 + 32 + 3x + -4x = -1

Combine like terms: 3 + 32 = 35
35 + 3x + -4x = -1

Combine like terms: 3x + -4x = -1x
35 + -1x = -1

Solving
35 + -1x = -1

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + -1x = -1 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = -1 + -35
-1x = -1 + -35

Combine like terms: -1 + -35 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36