6-2(x-3)=x-3

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Solution for 6-2(x-3)=x-3 equation:


Simplifying
6 + -2(x + -3) = x + -3

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

Combine like terms: 6 + 6 = 12
12 + -2x = x + -3

Reorder the terms:
12 + -2x = -3 + x

Solving
12 + -2x = -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.
12 + -2x + -1x = -3 + x + -1x

Combine like terms: -2x + -1x = -3x
12 + -3x = -3 + x + -1x

Combine like terms: x + -1x = 0
12 + -3x = -3 + 0
12 + -3x = -3

Add '-12' to each side of the equation.
12 + -12 + -3x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -3 + -12
-3x = -3 + -12

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

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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