16-(x+6)=5x-2

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Solution for 16-(x+6)=5x-2 equation:


Simplifying
16 + -1(x + 6) = 5x + -2

Reorder the terms:
16 + -1(6 + x) = 5x + -2
16 + (6 * -1 + x * -1) = 5x + -2
16 + (-6 + -1x) = 5x + -2

Combine like terms: 16 + -6 = 10
10 + -1x = 5x + -2

Reorder the terms:
10 + -1x = -2 + 5x

Solving
10 + -1x = -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.
10 + -1x + -5x = -2 + 5x + -5x

Combine like terms: -1x + -5x = -6x
10 + -6x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -6x = -2 + 0
10 + -6x = -2

Add '-10' to each side of the equation.
10 + -10 + -6x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -2 + -10
-6x = -2 + -10

Combine like terms: -2 + -10 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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