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

Solution for 6(x-8)-2(x-3)+7x= equation:

Simplifying
6(x + -8) + -2(x + -3) + 7x = 0

Reorder the terms:
6(-8 + x) + -2(x + -3) + 7x = 0
(-8 * 6 + x * 6) + -2(x + -3) + 7x = 0
(-48 + 6x) + -2(x + -3) + 7x = 0

Reorder the terms:
-48 + 6x + -2(-3 + x) + 7x = 0
-48 + 6x + (-3 * -2 + x * -2) + 7x = 0
-48 + 6x + (6 + -2x) + 7x = 0

Reorder the terms:
-48 + 6 + 6x + -2x + 7x = 0

Combine like terms: -48 + 6 = -42
-42 + 6x + -2x + 7x = 0

Combine like terms: 6x + -2x = 4x
-42 + 4x + 7x = 0

Combine like terms: 4x + 7x = 11x
-42 + 11x = 0

Solving
-42 + 11x = 0

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 11x = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 11x = 0 + 42
11x = 0 + 42

Combine like terms: 0 + 42 = 42
11x = 42

Divide each side by '11'.
x = 3.818181818

Simplifying
x = 3.818181818