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

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

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

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

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

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

Combine like terms: -10 + 6 = -4
-4 + 6x + 3x = 5(x + 2) + -1(x + 6)

Combine like terms: 6x + 3x = 9x
-4 + 9x = 5(x + 2) + -1(x + 6)

Reorder the terms:
-4 + 9x = 5(2 + x) + -1(x + 6)
-4 + 9x = (2 * 5 + x * 5) + -1(x + 6)
-4 + 9x = (10 + 5x) + -1(x + 6)

Reorder the terms:
-4 + 9x = 10 + 5x + -1(6 + x)
-4 + 9x = 10 + 5x + (6 * -1 + x * -1)
-4 + 9x = 10 + 5x + (-6 + -1x)

Reorder the terms:
-4 + 9x = 10 + -6 + 5x + -1x

Combine like terms: 10 + -6 = 4
-4 + 9x = 4 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-4 + 9x = 4 + 4x

Solving
-4 + 9x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4 + 9x + -4x = 4 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-4 + 5x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 5x = 4 + 0
-4 + 5x = 4

Add '4' to each side of the equation.
-4 + 4 + 5x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 4 + 4
5x = 4 + 4

Combine like terms: 4 + 4 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6