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

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

Simplifying
2(x + 3) + 6(x + -4) = 0

Reorder the terms:
2(3 + x) + 6(x + -4) = 0
(3 * 2 + x * 2) + 6(x + -4) = 0
(6 + 2x) + 6(x + -4) = 0

Reorder the terms:
6 + 2x + 6(-4 + x) = 0
6 + 2x + (-4 * 6 + x * 6) = 0
6 + 2x + (-24 + 6x) = 0

Reorder the terms:
6 + -24 + 2x + 6x = 0

Combine like terms: 6 + -24 = -18
-18 + 2x + 6x = 0

Combine like terms: 2x + 6x = 8x
-18 + 8x = 0

Solving
-18 + 8x = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 8x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 0 + 18
8x = 0 + 18

Combine like terms: 0 + 18 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25