2(x-5)-6(3x-1)+8=2(2x-8)-(3x+4-3)

Solution for 2(x-5)-6(3x-1)+8=2(2x-8)-(3x+4-3) equation:

Simplifying
2(x + -5) + -6(3x + -1) + 8 = 2(2x + -8) + -1(3x + 4 + -3)

Reorder the terms:
2(-5 + x) + -6(3x + -1) + 8 = 2(2x + -8) + -1(3x + 4 + -3)
(-5 * 2 + x * 2) + -6(3x + -1) + 8 = 2(2x + -8) + -1(3x + 4 + -3)
(-10 + 2x) + -6(3x + -1) + 8 = 2(2x + -8) + -1(3x + 4 + -3)

Reorder the terms:
-10 + 2x + -6(-1 + 3x) + 8 = 2(2x + -8) + -1(3x + 4 + -3)
-10 + 2x + (-1 * -6 + 3x * -6) + 8 = 2(2x + -8) + -1(3x + 4 + -3)
-10 + 2x + (6 + -18x) + 8 = 2(2x + -8) + -1(3x + 4 + -3)

Reorder the terms:
-10 + 6 + 8 + 2x + -18x = 2(2x + -8) + -1(3x + 4 + -3)

Combine like terms: -10 + 6 = -4
-4 + 8 + 2x + -18x = 2(2x + -8) + -1(3x + 4 + -3)

Combine like terms: -4 + 8 = 4
4 + 2x + -18x = 2(2x + -8) + -1(3x + 4 + -3)

Combine like terms: 2x + -18x = -16x
4 + -16x = 2(2x + -8) + -1(3x + 4 + -3)

Reorder the terms:
4 + -16x = 2(-8 + 2x) + -1(3x + 4 + -3)
4 + -16x = (-8 * 2 + 2x * 2) + -1(3x + 4 + -3)
4 + -16x = (-16 + 4x) + -1(3x + 4 + -3)

Reorder the terms:
4 + -16x = -16 + 4x + -1(4 + -3 + 3x)

Combine like terms: 4 + -3 = 1
4 + -16x = -16 + 4x + -1(1 + 3x)
4 + -16x = -16 + 4x + (1 * -1 + 3x * -1)
4 + -16x = -16 + 4x + (-1 + -3x)

Reorder the terms:
4 + -16x = -16 + -1 + 4x + -3x

Combine like terms: -16 + -1 = -17
4 + -16x = -17 + 4x + -3x

Combine like terms: 4x + -3x = 1x
4 + -16x = -17 + 1x

Solving
4 + -16x = -17 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + -16x + -1x = -17 + 1x + -1x

Combine like terms: -16x + -1x = -17x
4 + -17x = -17 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + -17x = -17 + 0
4 + -17x = -17

Add '-4' to each side of the equation.
4 + -4 + -17x = -17 + -4

Combine like terms: 4 + -4 = 0
0 + -17x = -17 + -4
-17x = -17 + -4

Combine like terms: -17 + -4 = -21
-17x = -21

Divide each side by '-17'.
x = 1.235294118

Simplifying
x = 1.235294118