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

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

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

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

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

Solving
6 + 2x = -6 + 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 + 2x + -8x = -6 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = -6 + 8x + -8x

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

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

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

Combine like terms: -6 + -6 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2