(5x-10)=(12x-14)

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Solution for (5x-10)=(12x-14) equation:


Simplifying
(5x + -10) = (12x + -14)

Reorder the terms:
(-10 + 5x) = (12x + -14)

Remove parenthesis around (-10 + 5x)
-10 + 5x = (12x + -14)

Reorder the terms:
-10 + 5x = (-14 + 12x)

Remove parenthesis around (-14 + 12x)
-10 + 5x = -14 + 12x

Solving
-10 + 5x = -14 + 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.
-10 + 5x + -12x = -14 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-10 + -7x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + -7x = -14 + 0
-10 + -7x = -14

Add '10' to each side of the equation.
-10 + 10 + -7x = -14 + 10

Combine like terms: -10 + 10 = 0
0 + -7x = -14 + 10
-7x = -14 + 10

Combine like terms: -14 + 10 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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