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

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

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

Reorder the terms:
1 + 5 + -8x = 3(x + 1) + -8(x + -3)

Combine like terms: 1 + 5 = 6
6 + -8x = 3(x + 1) + -8(x + -3)

Reorder the terms:
6 + -8x = 3(1 + x) + -8(x + -3)
6 + -8x = (1 * 3 + x * 3) + -8(x + -3)
6 + -8x = (3 + 3x) + -8(x + -3)

Reorder the terms:
6 + -8x = 3 + 3x + -8(-3 + x)
6 + -8x = 3 + 3x + (-3 * -8 + x * -8)
6 + -8x = 3 + 3x + (24 + -8x)

Reorder the terms:
6 + -8x = 3 + 24 + 3x + -8x

Combine like terms: 3 + 24 = 27
6 + -8x = 27 + 3x + -8x

Combine like terms: 3x + -8x = -5x
6 + -8x = 27 + -5x

Solving
6 + -8x = 27 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + -8x + 5x = 27 + -5x + 5x

Combine like terms: -8x + 5x = -3x
6 + -3x = 27 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + -3x = 27 + 0
6 + -3x = 27

Add '-6' to each side of the equation.
6 + -6 + -3x = 27 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 27 + -6
-3x = 27 + -6

Combine like terms: 27 + -6 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7