6(3x+1)=2(4x-2)

Solution for 6(3x+1)=2(4x-2) equation:

Simplifying
6(3x + 1) = 2(4x + -2)

Reorder the terms:
6(1 + 3x) = 2(4x + -2)
(1 * 6 + 3x * 6) = 2(4x + -2)
(6 + 18x) = 2(4x + -2)

Reorder the terms:
6 + 18x = 2(-2 + 4x)
6 + 18x = (-2 * 2 + 4x * 2)
6 + 18x = (-4 + 8x)

Solving
6 + 18x = -4 + 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 + 18x + -8x = -4 + 8x + -8x

Combine like terms: 18x + -8x = 10x
6 + 10x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 10x = -4 + 0
6 + 10x = -4

Add '-6' to each side of the equation.
6 + -6 + 10x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = -4 + -6
10x = -4 + -6

Combine like terms: -4 + -6 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1