2(x+3)+8(x-2)=0

Solution for 2(x+3)+8(x-2)=0 equation:

Simplifying
2(x + 3) + 8(x + -2) = 0

Reorder the terms:
2(3 + x) + 8(x + -2) = 0
(3 * 2 + x * 2) + 8(x + -2) = 0
(6 + 2x) + 8(x + -2) = 0

Reorder the terms:
6 + 2x + 8(-2 + x) = 0
6 + 2x + (-2 * 8 + x * 8) = 0
6 + 2x + (-16 + 8x) = 0

Reorder the terms:
6 + -16 + 2x + 8x = 0

Combine like terms: 6 + -16 = -10
-10 + 2x + 8x = 0

Combine like terms: 2x + 8x = 10x
-10 + 10x = 0

Solving
-10 + 10x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 10x = 0 + 10

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

Combine like terms: 0 + 10 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1