6(x-3)=x-3

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Solution for 6(x-3)=x-3 equation:


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

Reorder the terms:
6(-3 + x) = x + -3
(-3 * 6 + x * 6) = x + -3
(-18 + 6x) = x + -3

Reorder the terms:
-18 + 6x = -3 + x

Solving
-18 + 6x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-18 + 6x + -1x = -3 + x + -1x

Combine like terms: 6x + -1x = 5x
-18 + 5x = -3 + x + -1x

Combine like terms: x + -1x = 0
-18 + 5x = -3 + 0
-18 + 5x = -3

Add '18' to each side of the equation.
-18 + 18 + 5x = -3 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -3 + 18
5x = -3 + 18

Combine like terms: -3 + 18 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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