x*5+57=x*12-11

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Solution for x*5+57=x*12-11 equation:


Simplifying
x * 5 + 57 = x * 12 + -11

Reorder the terms for easier multiplication:
5x + 57 = x * 12 + -11

Reorder the terms:
57 + 5x = x * 12 + -11

Reorder the terms for easier multiplication:
57 + 5x = 12x + -11

Reorder the terms:
57 + 5x = -11 + 12x

Solving
57 + 5x = -11 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
57 + 5x + -12x = -11 + 12x + -12x

Combine like terms: 5x + -12x = -7x
57 + -7x = -11 + 12x + -12x

Combine like terms: 12x + -12x = 0
57 + -7x = -11 + 0
57 + -7x = -11

Add '-57' to each side of the equation.
57 + -57 + -7x = -11 + -57

Combine like terms: 57 + -57 = 0
0 + -7x = -11 + -57
-7x = -11 + -57

Combine like terms: -11 + -57 = -68
-7x = -68

Divide each side by '-7'.
x = 9.714285714

Simplifying
x = 9.714285714

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