0.5x+6=0.1x+9.2

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Solution for 0.5x+6=0.1x+9.2 equation:


Simplifying
0.5x + 6 = 0.1x + 9.2

Reorder the terms:
6 + 0.5x = 0.1x + 9.2

Reorder the terms:
6 + 0.5x = 9.2 + 0.1x

Solving
6 + 0.5x = 9.2 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
6 + 0.5x + -0.1x = 9.2 + 0.1x + -0.1x

Combine like terms: 0.5x + -0.1x = 0.4x
6 + 0.4x = 9.2 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
6 + 0.4x = 9.2 + 0.0
6 + 0.4x = 9.2

Add '-6' to each side of the equation.
6 + -6 + 0.4x = 9.2 + -6

Combine like terms: 6 + -6 = 0
0 + 0.4x = 9.2 + -6
0.4x = 9.2 + -6

Combine like terms: 9.2 + -6 = 3.2
0.4x = 3.2

Divide each side by '0.4'.
x = 8

Simplifying
x = 8

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