5x-9x+16=-2x+6

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Solution for 5x-9x+16=-2x+6 equation:


Simplifying
5x + -9x + 16 = -2x + 6

Reorder the terms:
16 + 5x + -9x = -2x + 6

Combine like terms: 5x + -9x = -4x
16 + -4x = -2x + 6

Reorder the terms:
16 + -4x = 6 + -2x

Solving
16 + -4x = 6 + -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.
16 + -4x + 2x = 6 + -2x + 2x

Combine like terms: -4x + 2x = -2x
16 + -2x = 6 + -2x + 2x

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

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

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

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

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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