2(x+3)=4(5-6x)

Solution for 2(x+3)=4(5-6x) equation:

Simplifying
2(x + 3) = 4(5 + -6x)

Reorder the terms:
2(3 + x) = 4(5 + -6x)
(3 * 2 + x * 2) = 4(5 + -6x)
(6 + 2x) = 4(5 + -6x)
6 + 2x = (5 * 4 + -6x * 4)
6 + 2x = (20 + -24x)

Solving
6 + 2x = 20 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
6 + 2x + 24x = 20 + -24x + 24x

Combine like terms: 2x + 24x = 26x
6 + 26x = 20 + -24x + 24x

Combine like terms: -24x + 24x = 0
6 + 26x = 20 + 0
6 + 26x = 20

Add '-6' to each side of the equation.
6 + -6 + 26x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 26x = 20 + -6
26x = 20 + -6

Combine like terms: 20 + -6 = 14
26x = 14

Divide each side by '26'.
x = 0.5384615385

Simplifying
x = 0.5384615385