6(x+3)+3x+2(2x+5)=3(x+1)-5

Solution for 6(x+3)+3x+2(2x+5)=3(x+1)-5 equation:

Simplifying
6(x + 3) + 3x + 2(2x + 5) = 3(x + 1) + -5

Reorder the terms:
6(3 + x) + 3x + 2(2x + 5) = 3(x + 1) + -5
(3 * 6 + x * 6) + 3x + 2(2x + 5) = 3(x + 1) + -5
(18 + 6x) + 3x + 2(2x + 5) = 3(x + 1) + -5

Reorder the terms:
18 + 6x + 3x + 2(5 + 2x) = 3(x + 1) + -5
18 + 6x + 3x + (5 * 2 + 2x * 2) = 3(x + 1) + -5
18 + 6x + 3x + (10 + 4x) = 3(x + 1) + -5

Reorder the terms:
18 + 10 + 6x + 3x + 4x = 3(x + 1) + -5

Combine like terms: 18 + 10 = 28
28 + 6x + 3x + 4x = 3(x + 1) + -5

Combine like terms: 6x + 3x = 9x
28 + 9x + 4x = 3(x + 1) + -5

Combine like terms: 9x + 4x = 13x
28 + 13x = 3(x + 1) + -5

Reorder the terms:
28 + 13x = 3(1 + x) + -5
28 + 13x = (1 * 3 + x * 3) + -5
28 + 13x = (3 + 3x) + -5

Reorder the terms:
28 + 13x = 3 + -5 + 3x

Combine like terms: 3 + -5 = -2
28 + 13x = -2 + 3x

Solving
28 + 13x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
28 + 13x + -3x = -2 + 3x + -3x

Combine like terms: 13x + -3x = 10x
28 + 10x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + 10x = -2 + 0
28 + 10x = -2

Add '-28' to each side of the equation.
28 + -28 + 10x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + 10x = -2 + -28
10x = -2 + -28

Combine like terms: -2 + -28 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3