3(x+1)-(x+1)+6(x+1)=24

Solution for 3(x+1)-(x+1)+6(x+1)=24 equation:

Simplifying
3(x + 1) + -1(x + 1) + 6(x + 1) = 24

Reorder the terms:
3(1 + x) + -1(x + 1) + 6(x + 1) = 24
(1 * 3 + x * 3) + -1(x + 1) + 6(x + 1) = 24
(3 + 3x) + -1(x + 1) + 6(x + 1) = 24

Reorder the terms:
3 + 3x + -1(1 + x) + 6(x + 1) = 24
3 + 3x + (1 * -1 + x * -1) + 6(x + 1) = 24
3 + 3x + (-1 + -1x) + 6(x + 1) = 24

Reorder the terms:
3 + 3x + -1 + -1x + 6(1 + x) = 24
3 + 3x + -1 + -1x + (1 * 6 + x * 6) = 24
3 + 3x + -1 + -1x + (6 + 6x) = 24

Reorder the terms:
3 + -1 + 6 + 3x + -1x + 6x = 24

Combine like terms: 3 + -1 = 2
2 + 6 + 3x + -1x + 6x = 24

Combine like terms: 2 + 6 = 8
8 + 3x + -1x + 6x = 24

Combine like terms: 3x + -1x = 2x
8 + 2x + 6x = 24

Combine like terms: 2x + 6x = 8x
8 + 8x = 24

Solving
8 + 8x = 24

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 8x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 24 + -8
8x = 24 + -8

Combine like terms: 24 + -8 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2