3(4x+2)=2(4x+50)

Solution for 3(4x+2)=2(4x+50) equation:

Simplifying
3(4x + 2) = 2(4x + 50)

Reorder the terms:
3(2 + 4x) = 2(4x + 50)
(2 * 3 + 4x * 3) = 2(4x + 50)
(6 + 12x) = 2(4x + 50)

Reorder the terms:
6 + 12x = 2(50 + 4x)
6 + 12x = (50 * 2 + 4x * 2)
6 + 12x = (100 + 8x)

Solving
6 + 12x = 100 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 12x + -8x = 100 + 8x + -8x

Combine like terms: 12x + -8x = 4x
6 + 4x = 100 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 4x = 100 + 0
6 + 4x = 100

Add '-6' to each side of the equation.
6 + -6 + 4x = 100 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 100 + -6
4x = 100 + -6

Combine like terms: 100 + -6 = 94
4x = 94

Divide each side by '4'.
x = 23.5

Simplifying
x = 23.5