.10*x+0.25(x+6)+0.05*4(x+6)=3.80

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Solution for .10*x+0.25(x+6)+0.05*4(x+6)=3.80 equation: 


Simplifying
0.10x + 0.25(x + 6) + 0.05 * 4(x + 6) = 3.80

Reorder the terms:
0.10x + 0.25(6 + x) + 0.05 * 4(x + 6) = 3.80
0.10x + (6 * 0.25 + x * 0.25) + 0.05 * 4(x + 6) = 3.80
0.10x + (1.5 + 0.25x) + 0.05 * 4(x + 6) = 3.80

Reorder the terms:
0.10x + 1.5 + 0.25x + 0.05 * 4(6 + x) = 3.80

Multiply 0.05 * 4
0.10x + 1.5 + 0.25x + 0.2(6 + x) = 3.80
0.10x + 1.5 + 0.25x + (6 * 0.2 + x * 0.2) = 3.80
0.10x + 1.5 + 0.25x + (1.2 + 0.2x) = 3.80

Reorder the terms:
1.5 + 1.2 + 0.10x + 0.25x + 0.2x = 3.80

Combine like terms: 1.5 + 1.2 = 2.7
2.7 + 0.10x + 0.25x + 0.2x = 3.80

Combine like terms: 0.10x + 0.25x = 0.35x
2.7 + 0.35x + 0.2x = 3.80

Combine like terms: 0.35x + 0.2x = 0.55x
2.7 + 0.55x = 3.80

Solving
2.7 + 0.55x = 3.80

Solving for variable 'x'.

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

Add '-2.7' to each side of the equation.
2.7 + -2.7 + 0.55x = 3.80 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + 0.55x = 3.80 + -2.7
0.55x = 3.80 + -2.7

Combine like terms: 3.80 + -2.7 = 1.1
0.55x = 1.1

Divide each side by '0.55'.
x = 2

Simplifying
x = 2

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