4(x-5)=2x+6-x

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

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

Reorder the terms:
4(-5 + x) = 2x + 6 + -1x
(-5 * 4 + x * 4) = 2x + 6 + -1x
(-20 + 4x) = 2x + 6 + -1x

Reorder the terms:
-20 + 4x = 6 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-20 + 4x = 6 + 1x

Solving
-20 + 4x = 6 + 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.
-20 + 4x + -1x = 6 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-20 + 3x = 6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-20 + 3x = 6 + 0
-20 + 3x = 6

Add '20' to each side of the equation.
-20 + 20 + 3x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = 6 + 20
3x = 6 + 20

Combine like terms: 6 + 20 = 26
3x = 26

Divide each side by '3'.
x = 8.666666667

Simplifying
x = 8.666666667