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

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Solution for 3(-x)+6=5(-x)+16 equation:


Simplifying
3(-1x) + 6 = 5(-1x) + 16

Remove parenthesis around (-1x)
3 * -1x + 6 = 5(-1x) + 16

Multiply 3 * -1
-3x + 6 = 5(-1x) + 16

Reorder the terms:
6 + -3x = 5(-1x) + 16

Remove parenthesis around (-1x)
6 + -3x = 5 * -1x + 16

Multiply 5 * -1
6 + -3x = -5x + 16

Reorder the terms:
6 + -3x = 16 + -5x

Solving
6 + -3x = 16 + -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.
6 + -3x + 5x = 16 + -5x + 5x

Combine like terms: -3x + 5x = 2x
6 + 2x = 16 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 2x = 16 + 0
6 + 2x = 16

Add '-6' to each side of the equation.
6 + -6 + 2x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 16 + -6
2x = 16 + -6

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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