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

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

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

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

Reorder the terms:
6 + 2x = 3 + -4(3 + x)
6 + 2x = 3 + (3 * -4 + x * -4)
6 + 2x = 3 + (-12 + -4x)

Combine like terms: 3 + -12 = -9
6 + 2x = -9 + -4x

Solving
6 + 2x = -9 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 2x + 4x = -9 + -4x + 4x

Combine like terms: 2x + 4x = 6x
6 + 6x = -9 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 6x = -9 + 0
6 + 6x = -9

Add '-6' to each side of the equation.
6 + -6 + 6x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -9 + -6
6x = -9 + -6

Combine like terms: -9 + -6 = -15
6x = -15

Divide each side by '6'.
x = -2.5

Simplifying
x = -2.5