x-7(-4+x)+(-x+7)=3(x-2)

Solution for x-7(-4+x)+(-x+7)=3(x-2) equation:

Simplifying
x + -7(-4 + x) + (-1x + 7) = 3(x + -2)
x + (-4 * -7 + x * -7) + (-1x + 7) = 3(x + -2)
x + (28 + -7x) + (-1x + 7) = 3(x + -2)

Reorder the terms:
x + 28 + -7x + (7 + -1x) = 3(x + -2)

Remove parenthesis around (7 + -1x)
x + 28 + -7x + 7 + -1x = 3(x + -2)

Reorder the terms:
28 + 7 + x + -7x + -1x = 3(x + -2)

Combine like terms: 28 + 7 = 35
35 + x + -7x + -1x = 3(x + -2)

Combine like terms: x + -7x = -6x
35 + -6x + -1x = 3(x + -2)

Combine like terms: -6x + -1x = -7x
35 + -7x = 3(x + -2)

Reorder the terms:
35 + -7x = 3(-2 + x)
35 + -7x = (-2 * 3 + x * 3)
35 + -7x = (-6 + 3x)

Solving
35 + -7x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
35 + -7x + -3x = -6 + 3x + -3x

Combine like terms: -7x + -3x = -10x
35 + -10x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
35 + -10x = -6 + 0
35 + -10x = -6

Add '-35' to each side of the equation.
35 + -35 + -10x = -6 + -35

Combine like terms: 35 + -35 = 0
0 + -10x = -6 + -35
-10x = -6 + -35

Combine like terms: -6 + -35 = -41
-10x = -41

Divide each side by '-10'.
x = 4.1

Simplifying
x = 4.1