5x+2=8x-16

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Solution for 5x+2=8x-16 equation:


Simplifying
5x + 2 = 8x + -16

Reorder the terms:
2 + 5x = 8x + -16

Reorder the terms:
2 + 5x = -16 + 8x

Solving
2 + 5x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 5x + -8x = -16 + 8x + -8x

Combine like terms: 5x + -8x = -3x
2 + -3x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -3x = -16 + 0
2 + -3x = -16

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

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

Combine like terms: -16 + -2 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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