6-x+8=3(x-5)+5(-4x-7)

Solution for 6-x+8=3(x-5)+5(-4x-7) equation:

Simplifying
6 + -1x + 8 = 3(x + -5) + 5(-4x + -7)

Reorder the terms:
6 + 8 + -1x = 3(x + -5) + 5(-4x + -7)

Combine like terms: 6 + 8 = 14
14 + -1x = 3(x + -5) + 5(-4x + -7)

Reorder the terms:
14 + -1x = 3(-5 + x) + 5(-4x + -7)
14 + -1x = (-5 * 3 + x * 3) + 5(-4x + -7)
14 + -1x = (-15 + 3x) + 5(-4x + -7)

Reorder the terms:
14 + -1x = -15 + 3x + 5(-7 + -4x)
14 + -1x = -15 + 3x + (-7 * 5 + -4x * 5)
14 + -1x = -15 + 3x + (-35 + -20x)

Reorder the terms:
14 + -1x = -15 + -35 + 3x + -20x

Combine like terms: -15 + -35 = -50
14 + -1x = -50 + 3x + -20x

Combine like terms: 3x + -20x = -17x
14 + -1x = -50 + -17x

Solving
14 + -1x = -50 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
14 + -1x + 17x = -50 + -17x + 17x

Combine like terms: -1x + 17x = 16x
14 + 16x = -50 + -17x + 17x

Combine like terms: -17x + 17x = 0
14 + 16x = -50 + 0
14 + 16x = -50

Add '-14' to each side of the equation.
14 + -14 + 16x = -50 + -14

Combine like terms: 14 + -14 = 0
0 + 16x = -50 + -14
16x = -50 + -14

Combine like terms: -50 + -14 = -64
16x = -64

Divide each side by '16'.
x = -4

Simplifying
x = -4