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

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


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

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

Reorder the terms:
3 + -3x = 3(4 + x) + 3
3 + -3x = (4 * 3 + x * 3) + 3
3 + -3x = (12 + 3x) + 3

Reorder the terms:
3 + -3x = 12 + 3 + 3x

Combine like terms: 12 + 3 = 15
3 + -3x = 15 + 3x

Solving
3 + -3x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + -3x + -3x = 15 + 3x + -3x

Combine like terms: -3x + -3x = -6x
3 + -6x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -6x = 15 + 0
3 + -6x = 15

Add '-3' to each side of the equation.
3 + -3 + -6x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 15 + -3
-6x = 15 + -3

Combine like terms: 15 + -3 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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