x+0.5=10x-2

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Solution for x+0.5=10x-2 equation:


Simplifying
x + 0.5 = 10x + -2

Reorder the terms:
0.5 + x = 10x + -2

Reorder the terms:
0.5 + x = -2 + 10x

Solving
0.5 + x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
0.5 + x + -10x = -2 + 10x + -10x

Combine like terms: x + -10x = -9x
0.5 + -9x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
0.5 + -9x = -2 + 0
0.5 + -9x = -2

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

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -9x = -2 + -0.5
-9x = -2 + -0.5

Combine like terms: -2 + -0.5 = -2.5
-9x = -2.5

Divide each side by '-9'.
x = 0.2777777778

Simplifying
x = 0.2777777778

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