-6=-4x+4+3(x-3)

Solution for -6=-4x+4+3(x-3) equation:

Simplifying
-6 = -4x + 4 + 3(x + -3)

Reorder the terms:
-6 = -4x + 4 + 3(-3 + x)
-6 = -4x + 4 + (-3 * 3 + x * 3)
-6 = -4x + 4 + (-9 + 3x)

Reorder the terms:
-6 = 4 + -9 + -4x + 3x

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

Combine like terms: -4x + 3x = -1x
-6 = -5 + -1x

Solving
-6 = -5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + x = -5 + -1x + x

Combine like terms: -1x + x = 0
-6 + x = -5 + 0
-6 + x = -5

Add '6' to each side of the equation.
-6 + 6 + x = -5 + 6

Combine like terms: -6 + 6 = 0
0 + x = -5 + 6
x = -5 + 6

Combine like terms: -5 + 6 = 1
x = 1

Simplifying
x = 1