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

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

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

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

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

Solving
-6 + 2x = 6 + 12x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-10'.
x = -1.2

Simplifying
x = -1.2