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

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

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

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

Combine like terms: 6 + 6 = 12
12 + 2x = x + -3(1 + -2x)
12 + 2x = x + (1 * -3 + -2x * -3)
12 + 2x = x + (-3 + 6x)

Reorder the terms:
12 + 2x = -3 + x + 6x

Combine like terms: x + 6x = 7x
12 + 2x = -3 + 7x

Solving
12 + 2x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + 2x + -7x = -3 + 7x + -7x

Combine like terms: 2x + -7x = -5x
12 + -5x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -5x = -3 + 0
12 + -5x = -3

Add '-12' to each side of the equation.
12 + -12 + -5x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -3 + -12
-5x = -3 + -12

Combine like terms: -3 + -12 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3