5x-1=14x-53

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Solution for 5x-1=14x-53 equation:


Simplifying
5x + -1 = 14x + -53

Reorder the terms:
-1 + 5x = 14x + -53

Reorder the terms:
-1 + 5x = -53 + 14x

Solving
-1 + 5x = -53 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-1 + 5x + -14x = -53 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-1 + -9x = -53 + 14x + -14x

Combine like terms: 14x + -14x = 0
-1 + -9x = -53 + 0
-1 + -9x = -53

Add '1' to each side of the equation.
-1 + 1 + -9x = -53 + 1

Combine like terms: -1 + 1 = 0
0 + -9x = -53 + 1
-9x = -53 + 1

Combine like terms: -53 + 1 = -52
-9x = -52

Divide each side by '-9'.
x = 5.777777778

Simplifying
x = 5.777777778

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