2(x+4x-3)=114

Solution for 2(x+4x-3)=114 equation:

Simplifying
2(x + 4x + -3) = 114

Reorder the terms:
2(-3 + x + 4x) = 114

Combine like terms: x + 4x = 5x
2(-3 + 5x) = 114
(-3 * 2 + 5x * 2) = 114
(-6 + 10x) = 114

Solving
-6 + 10x = 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 + 10x = 114 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 114 + 6
10x = 114 + 6

Combine like terms: 114 + 6 = 120
10x = 120

Divide each side by '10'.
x = 12

Simplifying
x = 12