x*9-53=x*5-5

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Solution for x*9-53=x*5-5 equation:


Simplifying
x * 9 + -53 = x * 5 + -5

Reorder the terms for easier multiplication:
9x + -53 = x * 5 + -5

Reorder the terms:
-53 + 9x = x * 5 + -5

Reorder the terms for easier multiplication:
-53 + 9x = 5x + -5

Reorder the terms:
-53 + 9x = -5 + 5x

Solving
-53 + 9x = -5 + 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.
-53 + 9x + -5x = -5 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-53 + 4x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-53 + 4x = -5 + 0
-53 + 4x = -5

Add '53' to each side of the equation.
-53 + 53 + 4x = -5 + 53

Combine like terms: -53 + 53 = 0
0 + 4x = -5 + 53
4x = -5 + 53

Combine like terms: -5 + 53 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12

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