(16-7x)=(5x-2)

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Solution for (16-7x)=(5x-2) equation:


Simplifying
(16 + -7x) = (5x + -2)

Remove parenthesis around (16 + -7x)
16 + -7x = (5x + -2)

Reorder the terms:
16 + -7x = (-2 + 5x)

Remove parenthesis around (-2 + 5x)
16 + -7x = -2 + 5x

Solving
16 + -7x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + -7x + -5x = -2 + 5x + -5x

Combine like terms: -7x + -5x = -12x
16 + -12x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -12x = -2 + 0
16 + -12x = -2

Add '-16' to each side of the equation.
16 + -16 + -12x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -12x = -2 + -16
-12x = -2 + -16

Combine like terms: -2 + -16 = -18
-12x = -18

Divide each side by '-12'.
x = 1.5

Simplifying
x = 1.5

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