5x+16=3x+2

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Solution for 5x+16=3x+2 equation:


Simplifying
5x + 16 = 3x + 2

Reorder the terms:
16 + 5x = 3x + 2

Reorder the terms:
16 + 5x = 2 + 3x

Solving
16 + 5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + 5x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
16 + 2x = 2 + 0
16 + 2x = 2

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

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

Combine like terms: 2 + -16 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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