(7x+6)-(4+6x)=10

Solution for (7x+6)-(4+6x)=10 equation:

Simplifying
(7x + 6) + -1(4 + 6x) = 10

Reorder the terms:
(6 + 7x) + -1(4 + 6x) = 10

Remove parenthesis around (6 + 7x)
6 + 7x + -1(4 + 6x) = 10
6 + 7x + (4 * -1 + 6x * -1) = 10
6 + 7x + (-4 + -6x) = 10

Reorder the terms:
6 + -4 + 7x + -6x = 10

Combine like terms: 6 + -4 = 2
2 + 7x + -6x = 10

Combine like terms: 7x + -6x = 1x
2 + 1x = 10

Solving
2 + 1x = 10

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 1x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 10 + -2
1x = 10 + -2

Combine like terms: 10 + -2 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8