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

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


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

Reorder the terms:
6(-9 + x) = 5(x + -5)
(-9 * 6 + x * 6) = 5(x + -5)
(-54 + 6x) = 5(x + -5)

Reorder the terms:
-54 + 6x = 5(-5 + x)
-54 + 6x = (-5 * 5 + x * 5)
-54 + 6x = (-25 + 5x)

Solving
-54 + 6x = -25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-54 + 6x + -5x = -25 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-54 + 1x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-54 + 1x = -25 + 0
-54 + 1x = -25

Add '54' to each side of the equation.
-54 + 54 + 1x = -25 + 54

Combine like terms: -54 + 54 = 0
0 + 1x = -25 + 54
1x = -25 + 54

Combine like terms: -25 + 54 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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