(7x+0.1)+(10x-0.2)=5

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Solution for (7x+0.1)+(10x-0.2)=5 equation: 


Simplifying
(7x + 0.1) + (10x + -0.2) = 5

Reorder the terms:
(0.1 + 7x) + (10x + -0.2) = 5

Remove parenthesis around (0.1 + 7x)
0.1 + 7x + (10x + -0.2) = 5

Reorder the terms:
0.1 + 7x + (-0.2 + 10x) = 5

Remove parenthesis around (-0.2 + 10x)
0.1 + 7x + -0.2 + 10x = 5

Reorder the terms:
0.1 + -0.2 + 7x + 10x = 5

Combine like terms: 0.1 + -0.2 = -0.1
-0.1 + 7x + 10x = 5

Combine like terms: 7x + 10x = 17x
-0.1 + 17x = 5

Solving
-0.1 + 17x = 5

Solving for variable 'x'.

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

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 17x = 5 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 17x = 5 + 0.1
17x = 5 + 0.1

Combine like terms: 5 + 0.1 = 5.1
17x = 5.1

Divide each side by '17'.
x = 0.3

Simplifying
x = 0.3

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