3(2x-6)+7(x+7)=2(x+8)-(x+5)

Solution for 3(2x-6)+7(x+7)=2(x+8)-(x+5) equation:

Simplifying
3(2x + -6) + 7(x + 7) = 2(x + 8) + -1(x + 5)

Reorder the terms:
3(-6 + 2x) + 7(x + 7) = 2(x + 8) + -1(x + 5)
(-6 * 3 + 2x * 3) + 7(x + 7) = 2(x + 8) + -1(x + 5)
(-18 + 6x) + 7(x + 7) = 2(x + 8) + -1(x + 5)

Reorder the terms:
-18 + 6x + 7(7 + x) = 2(x + 8) + -1(x + 5)
-18 + 6x + (7 * 7 + x * 7) = 2(x + 8) + -1(x + 5)
-18 + 6x + (49 + 7x) = 2(x + 8) + -1(x + 5)

Reorder the terms:
-18 + 49 + 6x + 7x = 2(x + 8) + -1(x + 5)

Combine like terms: -18 + 49 = 31
31 + 6x + 7x = 2(x + 8) + -1(x + 5)

Combine like terms: 6x + 7x = 13x
31 + 13x = 2(x + 8) + -1(x + 5)

Reorder the terms:
31 + 13x = 2(8 + x) + -1(x + 5)
31 + 13x = (8 * 2 + x * 2) + -1(x + 5)
31 + 13x = (16 + 2x) + -1(x + 5)

Reorder the terms:
31 + 13x = 16 + 2x + -1(5 + x)
31 + 13x = 16 + 2x + (5 * -1 + x * -1)
31 + 13x = 16 + 2x + (-5 + -1x)

Reorder the terms:
31 + 13x = 16 + -5 + 2x + -1x

Combine like terms: 16 + -5 = 11
31 + 13x = 11 + 2x + -1x

Combine like terms: 2x + -1x = 1x
31 + 13x = 11 + 1x

Solving
31 + 13x = 11 + 1x

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.
31 + 13x + -1x = 11 + 1x + -1x

Combine like terms: 13x + -1x = 12x
31 + 12x = 11 + 1x + -1x

Combine like terms: 1x + -1x = 0
31 + 12x = 11 + 0
31 + 12x = 11

Add '-31' to each side of the equation.
31 + -31 + 12x = 11 + -31

Combine like terms: 31 + -31 = 0
0 + 12x = 11 + -31
12x = 11 + -31

Combine like terms: 11 + -31 = -20
12x = -20

Divide each side by '12'.
x = -1.666666667

Simplifying
x = -1.666666667