-3(x-2)+7x=3+(x-8)

Solution for -3(x-2)+7x=3+(x-8) equation:

Simplifying
-3(x + -2) + 7x = 3 + (x + -8)

Reorder the terms:
-3(-2 + x) + 7x = 3 + (x + -8)
(-2 * -3 + x * -3) + 7x = 3 + (x + -8)
(6 + -3x) + 7x = 3 + (x + -8)

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

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

Remove parenthesis around (-8 + x)
6 + 4x = 3 + -8 + x

Combine like terms: 3 + -8 = -5
6 + 4x = -5 + x

Solving
6 + 4x = -5 + x

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.
6 + 4x + -1x = -5 + x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = -5 + x + -1x

Combine like terms: x + -1x = 0
6 + 3x = -5 + 0
6 + 3x = -5

Add '-6' to each side of the equation.
6 + -6 + 3x = -5 + -6

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

Combine like terms: -5 + -6 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667