(x+1.8)-(0.1x+7)=10

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Solution for (x+1.8)-(0.1x+7)=10 equation: 


Simplifying
(x + 1.8) + -1(0.1x + 7) = 10

Reorder the terms:
(1.8 + x) + -1(0.1x + 7) = 10

Remove parenthesis around (1.8 + x)
1.8 + x + -1(0.1x + 7) = 10

Reorder the terms:
1.8 + x + -1(7 + 0.1x) = 10
1.8 + x + (7 * -1 + 0.1x * -1) = 10
1.8 + x + (-7 + -0.1x) = 10

Reorder the terms:
1.8 + -7 + x + -0.1x = 10

Combine like terms: 1.8 + -7 = -5.2
-5.2 + x + -0.1x = 10

Combine like terms: x + -0.1x = 0.9x
-5.2 + 0.9x = 10

Solving
-5.2 + 0.9x = 10

Solving for variable 'x'.

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

Add '5.2' to each side of the equation.
-5.2 + 5.2 + 0.9x = 10 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + 0.9x = 10 + 5.2
0.9x = 10 + 5.2

Combine like terms: 10 + 5.2 = 15.2
0.9x = 15.2

Divide each side by '0.9'.
x = 16.88888889

Simplifying
x = 16.88888889

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