6(x-3)-3(2x+1)=4(2x-6)+3

Solution for 6(x-3)-3(2x+1)=4(2x-6)+3 equation:

Simplifying
6(x + -3) + -3(2x + 1) = 4(2x + -6) + 3

Reorder the terms:
6(-3 + x) + -3(2x + 1) = 4(2x + -6) + 3
(-3 * 6 + x * 6) + -3(2x + 1) = 4(2x + -6) + 3
(-18 + 6x) + -3(2x + 1) = 4(2x + -6) + 3

Reorder the terms:
-18 + 6x + -3(1 + 2x) = 4(2x + -6) + 3
-18 + 6x + (1 * -3 + 2x * -3) = 4(2x + -6) + 3
-18 + 6x + (-3 + -6x) = 4(2x + -6) + 3

Reorder the terms:
-18 + -3 + 6x + -6x = 4(2x + -6) + 3

Combine like terms: -18 + -3 = -21
-21 + 6x + -6x = 4(2x + -6) + 3

Combine like terms: 6x + -6x = 0
-21 + 0 = 4(2x + -6) + 3
-21 = 4(2x + -6) + 3

Reorder the terms:
-21 = 4(-6 + 2x) + 3
-21 = (-6 * 4 + 2x * 4) + 3
-21 = (-24 + 8x) + 3

Reorder the terms:
-21 = -24 + 3 + 8x

Combine like terms: -24 + 3 = -21
-21 = -21 + 8x

Add '21' to each side of the equation.
-21 + 21 = -21 + 21 + 8x

Combine like terms: -21 + 21 = 0
0 = -21 + 21 + 8x

Combine like terms: -21 + 21 = 0
0 = 0 + 8x
0 = 8x

Solving
0 = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
0 + -8x = 8x + -8x
Remove the zero:
-8x = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x = 0

Divide each side by '-8'.
x = 0

Simplifying
x = 0