0.02x+0.10(400-x)=0.42x

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Solution for 0.02x+0.10(400-x)=0.42x equation: 


Simplifying
0.02x + 0.10(400 + -1x) = 0.42x
0.02x + (400 * 0.10 + -1x * 0.10) = 0.42x
0.02x + (40 + -0.1x) = 0.42x

Reorder the terms:
40 + 0.02x + -0.1x = 0.42x

Combine like terms: 0.02x + -0.1x = -0.08x
40 + -0.08x = 0.42x

Solving
40 + -0.08x = 0.42x

Solving for variable 'x'.

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

Add '-0.42x' to each side of the equation.
40 + -0.08x + -0.42x = 0.42x + -0.42x

Combine like terms: -0.08x + -0.42x = -0.5x
40 + -0.5x = 0.42x + -0.42x

Combine like terms: 0.42x + -0.42x = 0.00
40 + -0.5x = 0.00

Add '-40' to each side of the equation.
40 + -40 + -0.5x = 0.00 + -40

Combine like terms: 40 + -40 = 0
0 + -0.5x = 0.00 + -40
-0.5x = 0.00 + -40

Combine like terms: 0.00 + -40 = -40
-0.5x = -40

Divide each side by '-0.5'.
x = 80

Simplifying
x = 80

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