Answer:
x = 3
Explanation:
Simplifying
(2x + -6) + 4(x + -3) = 0
Reorder the terms:
(-6 + 2x) + 4(x + -3) = 0
Remove parenthesis around (-6 + 2x)
-6 + 2x + 4(x + -3) = 0
Reorder the terms:
-6 + 2x + 4(-3 + x) = 0
-6 + 2x + (-3 * 4 + x * 4) = 0
-6 + 2x + (-12 + 4x) = 0
Reorder the terms:
-6 + -12 + 2x + 4x = 0
Combine like terms: -6 + -12 = -18
-18 + 2x + 4x = 0
Combine like terms: 2x + 4x = 6x
-18 + 6x = 0
Solving
-18 + 6x = 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 + 6x = 0 + 18
Combine like terms: -18 + 18 = 0
0 + 6x = 0 + 18
6x = 0 + 18
Combine like terms: 0 + 18 = 18
6x = 18
Divide each side by '6'.
x = 3
Simplifying
x = 3