.5x+9=6x-2

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


Simplifying
0.5x + 9 = 6x + -2

Reorder the terms:
9 + 0.5x = 6x + -2

Reorder the terms:
9 + 0.5x = -2 + 6x

Solving
9 + 0.5x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 0.5x + -6x = -2 + 6x + -6x

Combine like terms: 0.5x + -6x = -5.5x
9 + -5.5x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -5.5x = -2 + 0
9 + -5.5x = -2

Add '-9' to each side of the equation.
9 + -9 + -5.5x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -5.5x = -2 + -9
-5.5x = -2 + -9

Combine like terms: -2 + -9 = -11
-5.5x = -11

Divide each side by '-5.5'.
x = 2

Simplifying
x = 2

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