3(x+1)+x(3+1)=(x-1)+10

Solution for 3(x+1)+x(3+1)=(x-1)+10 equation:

Simplifying
3(x + 1) + x(3 + 1) = (x + -1) + 10

Reorder the terms:
3(1 + x) + x(3 + 1) = (x + -1) + 10
(1 * 3 + x * 3) + x(3 + 1) = (x + -1) + 10
(3 + 3x) + x(3 + 1) = (x + -1) + 10

Combine like terms: 3 + 1 = 4
3 + 3x + x(4) = (x + -1) + 10

Reorder the terms for easier multiplication:
3 + 3x + 4x = (x + -1) + 10

Combine like terms: 3x + 4x = 7x
3 + 7x = (x + -1) + 10

Reorder the terms:
3 + 7x = (-1 + x) + 10

Remove parenthesis around (-1 + x)
3 + 7x = -1 + x + 10

Reorder the terms:
3 + 7x = -1 + 10 + x

Combine like terms: -1 + 10 = 9
3 + 7x = 9 + x

Solving
3 + 7x = 9 + 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.
3 + 7x + -1x = 9 + x + -1x

Combine like terms: 7x + -1x = 6x
3 + 6x = 9 + x + -1x

Combine like terms: x + -1x = 0
3 + 6x = 9 + 0
3 + 6x = 9

Add '-3' to each side of the equation.
3 + -3 + 6x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 9 + -3
6x = 9 + -3

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

Divide each side by '6'.
x = 1

Simplifying
x = 1