(5x-3)=(14x-58)

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Solution for (5x-3)=(14x-58) equation:


Simplifying
(5x + -3) = (14x + -58)

Reorder the terms:
(-3 + 5x) = (14x + -58)

Remove parenthesis around (-3 + 5x)
-3 + 5x = (14x + -58)

Reorder the terms:
-3 + 5x = (-58 + 14x)

Remove parenthesis around (-58 + 14x)
-3 + 5x = -58 + 14x

Solving
-3 + 5x = -58 + 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.
-3 + 5x + -14x = -58 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-3 + -9x = -58 + 14x + -14x

Combine like terms: 14x + -14x = 0
-3 + -9x = -58 + 0
-3 + -9x = -58

Add '3' to each side of the equation.
-3 + 3 + -9x = -58 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = -58 + 3
-9x = -58 + 3

Combine like terms: -58 + 3 = -55
-9x = -55

Divide each side by '-9'.
x = 6.111111111

Simplifying
x = 6.111111111

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