.01x+.10x+.25(35-2x)=4.07

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Solution for .01x+.10x+.25(35-2x)=4.07 equation:


Simplifying
0.01x + 0.10x + 0.25(35 + -2x) = 4.07
0.01x + 0.10x + (35 * 0.25 + -2x * 0.25) = 4.07
0.01x + 0.10x + (8.75 + -0.5x) = 4.07

Reorder the terms:
8.75 + 0.01x + 0.10x + -0.5x = 4.07

Combine like terms: 0.01x + 0.10x = 0.11x
8.75 + 0.11x + -0.5x = 4.07

Combine like terms: 0.11x + -0.5x = -0.39x
8.75 + -0.39x = 4.07

Solving
8.75 + -0.39x = 4.07

Solving for variable 'x'.

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

Add '-8.75' to each side of the equation.
8.75 + -8.75 + -0.39x = 4.07 + -8.75

Combine like terms: 8.75 + -8.75 = 0.00
0.00 + -0.39x = 4.07 + -8.75
-0.39x = 4.07 + -8.75

Combine like terms: 4.07 + -8.75 = -4.68
-0.39x = -4.68

Divide each side by '-0.39'.
x = 12

Simplifying
x = 12

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