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

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

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

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

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

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

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

Reorder the terms:
6 + -2x = 4 + -8 + 4x

Combine like terms: 4 + -8 = -4
6 + -2x = -4 + 4x

Solving
6 + -2x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + -2x + -4x = -4 + 4x + -4x

Combine like terms: -2x + -4x = -6x
6 + -6x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -6x = -4 + 0
6 + -6x = -4

Add '-6' to each side of the equation.
6 + -6 + -6x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -4 + -6
-6x = -4 + -6

Combine like terms: -4 + -6 = -10
-6x = -10

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667