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

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


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

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

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

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

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

Solving
-3 + 3x = -6

Solving for variable 'x'.

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

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

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

Combine like terms: -6 + 3 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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