3-7(x-1)=7-6(6+1)

Solution for 3-7(x-1)=7-6(6+1) equation:

Simplifying
3 + -7(x + -1) = 7 + -6(6 + 1)

Reorder the terms:
3 + -7(-1 + x) = 7 + -6(6 + 1)
3 + (-1 * -7 + x * -7) = 7 + -6(6 + 1)
3 + (7 + -7x) = 7 + -6(6 + 1)

Combine like terms: 3 + 7 = 10
10 + -7x = 7 + -6(6 + 1)

Combine like terms: 6 + 1 = 7
10 + -7x = 7 + -6(7)

Multiply -6 * 7
10 + -7x = 7 + -42

Combine like terms: 7 + -42 = -35
10 + -7x = -35

Solving
10 + -7x = -35

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -7x = -35 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -35 + -10
-7x = -35 + -10

Combine like terms: -35 + -10 = -45
-7x = -45

Divide each side by '-7'.
x = 6.428571429

Simplifying
x = 6.428571429