5-3(x-2)=x-9

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Solution for 5-3(x-2)=x-9 equation: 


Simplifying
5 + -3(x + -2) = x + -9

Reorder the terms:
5 + -3(-2 + x) = x + -9
5 + (-2 * -3 + x * -3) = x + -9
5 + (6 + -3x) = x + -9

Combine like terms: 5 + 6 = 11
11 + -3x = x + -9

Reorder the terms:
11 + -3x = -9 + x

Solving
11 + -3x = -9 + 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.
11 + -3x + -1x = -9 + x + -1x

Combine like terms: -3x + -1x = -4x
11 + -4x = -9 + x + -1x

Combine like terms: x + -1x = 0
11 + -4x = -9 + 0
11 + -4x = -9

Add '-11' to each side of the equation.
11 + -11 + -4x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -9 + -11
-4x = -9 + -11

Combine like terms: -9 + -11 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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