2(x-3)+2(9x)=114

Solution for 2(x-3)+2(9x)=114 equation:

Simplifying
2(x + -3) + 2(9x) = 114

Reorder the terms:
2(-3 + x) + 2(9x) = 114
(-3 * 2 + x * 2) + 2(9x) = 114
(-6 + 2x) + 2(9x) = 114

Remove parenthesis around (9x)
-6 + 2x + 2 * 9x = 114

Multiply 2 * 9
-6 + 2x + 18x = 114

Combine like terms: 2x + 18x = 20x
-6 + 20x = 114

Solving
-6 + 20x = 114

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 + 20x = 114 + 6

Combine like terms: -6 + 6 = 0
0 + 20x = 114 + 6
20x = 114 + 6

Combine like terms: 114 + 6 = 120
20x = 120

Divide each side by '20'.
x = 6

Simplifying
x = 6