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

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


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

Reorder the terms:
3(-2 + x) + -2(3x + -3) = 5(1 + -1x) + 3
(-2 * 3 + x * 3) + -2(3x + -3) = 5(1 + -1x) + 3
(-6 + 3x) + -2(3x + -3) = 5(1 + -1x) + 3

Reorder the terms:
-6 + 3x + -2(-3 + 3x) = 5(1 + -1x) + 3
-6 + 3x + (-3 * -2 + 3x * -2) = 5(1 + -1x) + 3
-6 + 3x + (6 + -6x) = 5(1 + -1x) + 3

Reorder the terms:
-6 + 6 + 3x + -6x = 5(1 + -1x) + 3

Combine like terms: -6 + 6 = 0
0 + 3x + -6x = 5(1 + -1x) + 3
3x + -6x = 5(1 + -1x) + 3

Combine like terms: 3x + -6x = -3x
-3x = 5(1 + -1x) + 3
-3x = (1 * 5 + -1x * 5) + 3
-3x = (5 + -5x) + 3

Reorder the terms:
-3x = 5 + 3 + -5x

Combine like terms: 5 + 3 = 8
-3x = 8 + -5x

Solving
-3x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-3x + 5x = 8 + -5x + 5x

Combine like terms: -3x + 5x = 2x
2x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
2x = 8 + 0
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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