(5x-3)=(14x+6)+10

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Solution for (5x-3)=(14x+6)+10 equation:


Simplifying
(5x + -3) = (14x + 6) + 10

Reorder the terms:
(-3 + 5x) = (14x + 6) + 10

Remove parenthesis around (-3 + 5x)
-3 + 5x = (14x + 6) + 10

Reorder the terms:
-3 + 5x = (6 + 14x) + 10

Remove parenthesis around (6 + 14x)
-3 + 5x = 6 + 14x + 10

Reorder the terms:
-3 + 5x = 6 + 10 + 14x

Combine like terms: 6 + 10 = 16
-3 + 5x = 16 + 14x

Solving
-3 + 5x = 16 + 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 = 16 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-3 + -9x = 16 + 14x + -14x

Combine like terms: 14x + -14x = 0
-3 + -9x = 16 + 0
-3 + -9x = 16

Add '3' to each side of the equation.
-3 + 3 + -9x = 16 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = 16 + 3
-9x = 16 + 3

Combine like terms: 16 + 3 = 19
-9x = 19

Divide each side by '-9'.
x = -2.111111111

Simplifying
x = -2.111111111

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