x+6(x-1)=3+x

Solution for x+6(x-1)=3+x equation:

Simplifying
x + 6(x + -1) = 3 + x

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

Reorder the terms:
-6 + x + 6x = 3 + x

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

Solving
-6 + 7x = 3 + 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 + 7x + -1x = 3 + x + -1x

Combine like terms: 7x + -1x = 6x
-6 + 6x = 3 + x + -1x

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

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

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

Combine like terms: 3 + 6 = 9
6x = 9

Divide each side by '6'.
x = 1.5

Simplifying
x = 1.5