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

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

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

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

Reorder the terms:
6 + 18x = -2(-3 + 4x)
6 + 18x = (-3 * -2 + 4x * -2)
6 + 18x = (6 + -8x)

Add '-6' to each side of the equation.
6 + -6 + 18x = 6 + -6 + -8x

Combine like terms: 6 + -6 = 0
0 + 18x = 6 + -6 + -8x
18x = 6 + -6 + -8x

Combine like terms: 6 + -6 = 0
18x = 0 + -8x
18x = -8x

Solving
18x = -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.
18x + 8x = -8x + 8x

Combine like terms: 18x + 8x = 26x
26x = -8x + 8x

Combine like terms: -8x + 8x = 0
26x = 0

Divide each side by '26'.
x = 0

Simplifying
x = 0