1.6x-18+0.9=0.1x+6

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Solution for 1.6x-18+0.9=0.1x+6 equation:


Simplifying
1.6x + -18 + 0.9 = 0.1x + 6

Reorder the terms:
-18 + 0.9 + 1.6x = 0.1x + 6

Combine like terms: -18 + 0.9 = -17.1
-17.1 + 1.6x = 0.1x + 6

Reorder the terms:
-17.1 + 1.6x = 6 + 0.1x

Solving
-17.1 + 1.6x = 6 + 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.
-17.1 + 1.6x + -0.1x = 6 + 0.1x + -0.1x

Combine like terms: 1.6x + -0.1x = 1.5x
-17.1 + 1.5x = 6 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-17.1 + 1.5x = 6 + 0.0
-17.1 + 1.5x = 6

Add '17.1' to each side of the equation.
-17.1 + 17.1 + 1.5x = 6 + 17.1

Combine like terms: -17.1 + 17.1 = 0.0
0.0 + 1.5x = 6 + 17.1
1.5x = 6 + 17.1

Combine like terms: 6 + 17.1 = 23.1
1.5x = 23.1

Divide each side by '1.5'.
x = 15.4

Simplifying
x = 15.4

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