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

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

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

Reorder the terms:
2(-3 + 4x) + 2(4x) = 114
(-3 * 2 + 4x * 2) + 2(4x) = 114
(-6 + 8x) + 2(4x) = 114

Remove parenthesis around (4x)
-6 + 8x + 2 * 4x = 114

Multiply 2 * 4
-6 + 8x + 8x = 114

Combine like terms: 8x + 8x = 16x
-6 + 16x = 114

Solving
-6 + 16x = 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 + 16x = 114 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = 114 + 6
16x = 114 + 6

Combine like terms: 114 + 6 = 120
16x = 120

Divide each side by '16'.
x = 7.5

Simplifying
x = 7.5