0.04x+0.05(20-X)=0.10(38)

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Solution for 0.04x+0.05(20-X)=0.10(38) equation: 


Simplifying
0.04x + 0.05(20 + -1X) = 0.10(38)
0.04x + (20 * 0.05 + -1X * 0.05) = 0.10(38)
0.04x + (1 + -0.05X) = 0.10(38)

Reorder the terms:
1 + -0.05X + 0.04x = 0.10(38)

Multiply 0.10 * 38
1 + -0.05X + 0.04x = 3.8

Solving
1 + -0.05X + 0.04x = 3.8

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + -0.05X + -1 + 0.04x = 3.8 + -1

Reorder the terms:
1 + -1 + -0.05X + 0.04x = 3.8 + -1

Combine like terms: 1 + -1 = 0
0 + -0.05X + 0.04x = 3.8 + -1
-0.05X + 0.04x = 3.8 + -1

Combine like terms: 3.8 + -1 = 2.8
-0.05X + 0.04x = 2.8

Add '-0.04x' to each side of the equation.
-0.05X + 0.04x + -0.04x = 2.8 + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-0.05X + 0.00 = 2.8 + -0.04x
-0.05X = 2.8 + -0.04x

Divide each side by '-0.05'.
X = -56 + 0.8x

Simplifying
X = -56 + 0.8x

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