(x-5)-4(x-6)=9

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Solution for (x-5)-4(x-6)=9 equation:


Simplifying
(x + -5) + -4(x + -6) = 9

Reorder the terms:
(-5 + x) + -4(x + -6) = 9

Remove parenthesis around (-5 + x)
-5 + x + -4(x + -6) = 9

Reorder the terms:
-5 + x + -4(-6 + x) = 9
-5 + x + (-6 * -4 + x * -4) = 9
-5 + x + (24 + -4x) = 9

Reorder the terms:
-5 + 24 + x + -4x = 9

Combine like terms: -5 + 24 = 19
19 + x + -4x = 9

Combine like terms: x + -4x = -3x
19 + -3x = 9

Solving
19 + -3x = 9

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -3x = 9 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 9 + -19
-3x = 9 + -19

Combine like terms: 9 + -19 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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