6(x-9)=x-19

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Solution for 6(x-9)=x-19 equation:


Simplifying
6(x + -9) = x + -19

Reorder the terms:
6(-9 + x) = x + -19
(-9 * 6 + x * 6) = x + -19
(-54 + 6x) = x + -19

Reorder the terms:
-54 + 6x = -19 + x

Solving
-54 + 6x = -19 + 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.
-54 + 6x + -1x = -19 + x + -1x

Combine like terms: 6x + -1x = 5x
-54 + 5x = -19 + x + -1x

Combine like terms: x + -1x = 0
-54 + 5x = -19 + 0
-54 + 5x = -19

Add '54' to each side of the equation.
-54 + 54 + 5x = -19 + 54

Combine like terms: -54 + 54 = 0
0 + 5x = -19 + 54
5x = -19 + 54

Combine like terms: -19 + 54 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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