x*5+57=x*9-7

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Solution for x*5+57=x*9-7 equation: 


Simplifying
x * 5 + 57 = x * 9 + -7

Reorder the terms for easier multiplication:
5x + 57 = x * 9 + -7

Reorder the terms:
57 + 5x = x * 9 + -7

Reorder the terms for easier multiplication:
57 + 5x = 9x + -7

Reorder the terms:
57 + 5x = -7 + 9x

Solving
57 + 5x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
57 + 5x + -9x = -7 + 9x + -9x

Combine like terms: 5x + -9x = -4x
57 + -4x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
57 + -4x = -7 + 0
57 + -4x = -7

Add '-57' to each side of the equation.
57 + -57 + -4x = -7 + -57

Combine like terms: 57 + -57 = 0
0 + -4x = -7 + -57
-4x = -7 + -57

Combine like terms: -7 + -57 = -64
-4x = -64

Divide each side by '-4'.
x = 16

Simplifying
x = 16

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