2(x+3)-3(6+2)+5(2x-4)=10

Solution for 2(x+3)-3(6+2)+5(2x-4)=10 equation:

Simplifying
2(x + 3) + -3(6 + 2) + 5(2x + -4) = 10

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

Combine like terms: 6 + 2 = 8
6 + 2x + -3(8) + 5(2x + -4) = 10

Multiply -3 * 8
6 + 2x + -24 + 5(2x + -4) = 10

Reorder the terms:
6 + 2x + -24 + 5(-4 + 2x) = 10
6 + 2x + -24 + (-4 * 5 + 2x * 5) = 10
6 + 2x + -24 + (-20 + 10x) = 10

Reorder the terms:
6 + -24 + -20 + 2x + 10x = 10

Combine like terms: 6 + -24 = -18
-18 + -20 + 2x + 10x = 10

Combine like terms: -18 + -20 = -38
-38 + 2x + 10x = 10

Combine like terms: 2x + 10x = 12x
-38 + 12x = 10

Solving
-38 + 12x = 10

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 12x = 10 + 38

Combine like terms: -38 + 38 = 0
0 + 12x = 10 + 38
12x = 10 + 38

Combine like terms: 10 + 38 = 48
12x = 48

Divide each side by '12'.
x = 4

Simplifying
x = 4