3(2-4(1+x))=5-3(3-x)

Solution for 3(2-4(1+x))=5-3(3-x) equation:

Simplifying
3(2 + -4(1 + x)) = 5 + -3(3 + -1x)
3(2 + (1 * -4 + x * -4)) = 5 + -3(3 + -1x)
3(2 + (-4 + -4x)) = 5 + -3(3 + -1x)

Combine like terms: 2 + -4 = -2
3(-2 + -4x) = 5 + -3(3 + -1x)
(-2 * 3 + -4x * 3) = 5 + -3(3 + -1x)
(-6 + -12x) = 5 + -3(3 + -1x)
-6 + -12x = 5 + (3 * -3 + -1x * -3)
-6 + -12x = 5 + (-9 + 3x)

Combine like terms: 5 + -9 = -4
-6 + -12x = -4 + 3x

Solving
-6 + -12x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + -12x + -3x = -4 + 3x + -3x

Combine like terms: -12x + -3x = -15x
-6 + -15x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -15x = -4 + 0
-6 + -15x = -4

Add '6' to each side of the equation.
-6 + 6 + -15x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -15x = -4 + 6
-15x = -4 + 6

Combine like terms: -4 + 6 = 2
-15x = 2

Divide each side by '-15'.
x = -0.1333333333

Simplifying
x = -0.1333333333