6[3x-3]+4[6-2x]-3[3x+3]=-3

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Solution for 6[3x-3]+4[6-2x]-3[3x+3]=-3 equation:


Simplifying
6[3x + -3] + 4[6 + -2x] + -3[3x + 3] = -3

Reorder the terms:
6[-3 + 3x] + 4[6 + -2x] + -3[3x + 3] = -3
[-3 * 6 + 3x * 6] + 4[6 + -2x] + -3[3x + 3] = -3
[-18 + 18x] + 4[6 + -2x] + -3[3x + 3] = -3
-18 + 18x + [6 * 4 + -2x * 4] + -3[3x + 3] = -3
-18 + 18x + [24 + -8x] + -3[3x + 3] = -3

Reorder the terms:
-18 + 18x + 24 + -8x + -3[3 + 3x] = -3
-18 + 18x + 24 + -8x + [3 * -3 + 3x * -3] = -3
-18 + 18x + 24 + -8x + [-9 + -9x] = -3

Reorder the terms:
-18 + 24 + -9 + 18x + -8x + -9x = -3

Combine like terms: -18 + 24 = 6
6 + -9 + 18x + -8x + -9x = -3

Combine like terms: 6 + -9 = -3
-3 + 18x + -8x + -9x = -3

Combine like terms: 18x + -8x = 10x
-3 + 10x + -9x = -3

Combine like terms: 10x + -9x = 1x
-3 + 1x = -3

Add '3' to each side of the equation.
-3 + 3 + 1x = -3 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -3 + 3
1x = -3 + 3

Combine like terms: -3 + 3 = 0
1x = 0

Solving
1x = 0

Solving for variable 'x'.

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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