(3x+6)+(4x-12)=270

Solution for (3x+6)+(4x-12)=270 equation:

Simplifying
(3x + 6) + (4x + -12) = 270

Reorder the terms:
(6 + 3x) + (4x + -12) = 270

Remove parenthesis around (6 + 3x)
6 + 3x + (4x + -12) = 270

Reorder the terms:
6 + 3x + (-12 + 4x) = 270

Remove parenthesis around (-12 + 4x)
6 + 3x + -12 + 4x = 270

Reorder the terms:
6 + -12 + 3x + 4x = 270

Combine like terms: 6 + -12 = -6
-6 + 3x + 4x = 270

Combine like terms: 3x + 4x = 7x
-6 + 7x = 270

Solving
-6 + 7x = 270

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 7x = 270 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 270 + 6
7x = 270 + 6

Combine like terms: 270 + 6 = 276
7x = 276

Divide each side by '7'.
x = 39.42857143

Simplifying
x = 39.42857143