0.10x+0.25(x+10)+0.05*2(x+10)=6.65

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Solution for 0.10x+0.25(x+10)+0.05*2(x+10)=6.65 equation: 


Simplifying
0.10x + 0.25(x + 10) + 0.05 * 2(x + 10) = 6.65

Reorder the terms:
0.10x + 0.25(10 + x) + 0.05 * 2(x + 10) = 6.65
0.10x + (10 * 0.25 + x * 0.25) + 0.05 * 2(x + 10) = 6.65
0.10x + (2.5 + 0.25x) + 0.05 * 2(x + 10) = 6.65

Reorder the terms:
0.10x + 2.5 + 0.25x + 0.05 * 2(10 + x) = 6.65

Multiply 0.05 * 2
0.10x + 2.5 + 0.25x + 0.1(10 + x) = 6.65
0.10x + 2.5 + 0.25x + (10 * 0.1 + x * 0.1) = 6.65
0.10x + 2.5 + 0.25x + (1 + 0.1x) = 6.65

Reorder the terms:
2.5 + 1 + 0.10x + 0.25x + 0.1x = 6.65

Combine like terms: 2.5 + 1 = 3.5
3.5 + 0.10x + 0.25x + 0.1x = 6.65

Combine like terms: 0.10x + 0.25x = 0.35x
3.5 + 0.35x + 0.1x = 6.65

Combine like terms: 0.35x + 0.1x = 0.45x
3.5 + 0.45x = 6.65

Solving
3.5 + 0.45x = 6.65

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 0.45x = 6.65 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 0.45x = 6.65 + -3.5
0.45x = 6.65 + -3.5

Combine like terms: 6.65 + -3.5 = 3.15
0.45x = 3.15

Divide each side by '0.45'.
x = 7

Simplifying
x = 7

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