(14x-16)-(9+7x)=2x

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Solution for (14x-16)-(9+7x)=2x equation:


Simplifying
(14x + -16) + -1(9 + 7x) = 2x

Reorder the terms:
(-16 + 14x) + -1(9 + 7x) = 2x

Remove parenthesis around (-16 + 14x)
-16 + 14x + -1(9 + 7x) = 2x
-16 + 14x + (9 * -1 + 7x * -1) = 2x
-16 + 14x + (-9 + -7x) = 2x

Reorder the terms:
-16 + -9 + 14x + -7x = 2x

Combine like terms: -16 + -9 = -25
-25 + 14x + -7x = 2x

Combine like terms: 14x + -7x = 7x
-25 + 7x = 2x

Solving
-25 + 7x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-25 + 7x + -2x = 2x + -2x

Combine like terms: 7x + -2x = 5x
-25 + 5x = 2x + -2x

Combine like terms: 2x + -2x = 0
-25 + 5x = 0

Add '25' to each side of the equation.
-25 + 25 + 5x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 5x = 0 + 25
5x = 0 + 25

Combine like terms: 0 + 25 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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