6(3+x)+5(7-x)+6=10

Solution for 6(3+x)+5(7-x)+6=10 equation:

Simplifying
6(3 + x) + 5(7 + -1x) + 6 = 10
(3 * 6 + x * 6) + 5(7 + -1x) + 6 = 10
(18 + 6x) + 5(7 + -1x) + 6 = 10
18 + 6x + (7 * 5 + -1x * 5) + 6 = 10
18 + 6x + (35 + -5x) + 6 = 10

Reorder the terms:
18 + 35 + 6 + 6x + -5x = 10

Combine like terms: 18 + 35 = 53
53 + 6 + 6x + -5x = 10

Combine like terms: 53 + 6 = 59
59 + 6x + -5x = 10

Combine like terms: 6x + -5x = 1x
59 + 1x = 10

Solving
59 + 1x = 10

Solving for variable 'x'.

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

Add '-59' to each side of the equation.
59 + -59 + 1x = 10 + -59

Combine like terms: 59 + -59 = 0
0 + 1x = 10 + -59
1x = 10 + -59

Combine like terms: 10 + -59 = -49
1x = -49

Divide each side by '1'.
x = -49

Simplifying
x = -49