.05x+.10(x+3)+.25(27-2x)=3.35

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Solution for .05x+.10(x+3)+.25(27-2x)=3.35 equation: 


Simplifying
0.05x + 0.10(x + 3) + 0.25(27 + -2x) = 3.35

Reorder the terms:
0.05x + 0.10(3 + x) + 0.25(27 + -2x) = 3.35
0.05x + (3 * 0.10 + x * 0.10) + 0.25(27 + -2x) = 3.35
0.05x + (0.3 + 0.10x) + 0.25(27 + -2x) = 3.35
0.05x + 0.3 + 0.10x + (27 * 0.25 + -2x * 0.25) = 3.35
0.05x + 0.3 + 0.10x + (6.75 + -0.5x) = 3.35

Reorder the terms:
0.3 + 6.75 + 0.05x + 0.10x + -0.5x = 3.35

Combine like terms: 0.3 + 6.75 = 7.05
7.05 + 0.05x + 0.10x + -0.5x = 3.35

Combine like terms: 0.05x + 0.10x = 0.15x
7.05 + 0.15x + -0.5x = 3.35

Combine like terms: 0.15x + -0.5x = -0.35x
7.05 + -0.35x = 3.35

Solving
7.05 + -0.35x = 3.35

Solving for variable 'x'.

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

Add '-7.05' to each side of the equation.
7.05 + -7.05 + -0.35x = 3.35 + -7.05

Combine like terms: 7.05 + -7.05 = 0.00
0.00 + -0.35x = 3.35 + -7.05
-0.35x = 3.35 + -7.05

Combine like terms: 3.35 + -7.05 = -3.7
-0.35x = -3.7

Divide each side by '-0.35'.
x = 10.57142857

Simplifying
x = 10.57142857

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