x+6(x-1)=7

Solution for x+6(x-1)=7 equation:

Simplifying
x + 6(x + -1) = 7

Reorder the terms:
x + 6(-1 + x) = 7
x + (-1 * 6 + x * 6) = 7
x + (-6 + 6x) = 7

Reorder the terms:
-6 + x + 6x = 7

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

Solving
-6 + 7x = 7

Solving for variable 'x'.

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

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

Combine like terms: -6 + 6 = 0
0 + 7x = 7 + 6
7x = 7 + 6

Combine like terms: 7 + 6 = 13
7x = 13

Divide each side by '7'.
x = 1.857142857

Simplifying
x = 1.857142857