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

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


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

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

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

Combine like terms: x + -3x = -2x
-3 + -2x = 3(x + -1)

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

Add '3' to each side of the equation.
-3 + 3 + -2x = -3 + 3 + 3x

Combine like terms: -3 + 3 = 0
0 + -2x = -3 + 3 + 3x
-2x = -3 + 3 + 3x

Combine like terms: -3 + 3 = 0
-2x = 0 + 3x
-2x = 3x

Solving
-2x = 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.
-2x + -3x = 3x + -3x

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

Combine like terms: 3x + -3x = 0
-5x = 0

Divide each side by '-5'.
x = 0

Simplifying
x = 0

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