6(2x+1)=2(5x+6)

Solution for 6(2x+1)=2(5x+6) equation:

Simplifying
6(2x + 1) = 2(5x + 6)

Reorder the terms:
6(1 + 2x) = 2(5x + 6)
(1 * 6 + 2x * 6) = 2(5x + 6)
(6 + 12x) = 2(5x + 6)

Reorder the terms:
6 + 12x = 2(6 + 5x)
6 + 12x = (6 * 2 + 5x * 2)
6 + 12x = (12 + 10x)

Solving
6 + 12x = 12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 12x + -10x = 12 + 10x + -10x

Combine like terms: 12x + -10x = 2x
6 + 2x = 12 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + 2x = 12 + 0
6 + 2x = 12

Add '-6' to each side of the equation.
6 + -6 + 2x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 12 + -6
2x = 12 + -6

Combine like terms: 12 + -6 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3