0.10x+0.50(40)=0.40(x+40)

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Solution for 0.10x+0.50(40)=0.40(x+40) equation: 


Simplifying
0.10x + 0.50(40) = 0.40(x + 40)

Multiply 0.50 * 40
0.10x + 20 = 0.40(x + 40)

Reorder the terms:
20 + 0.10x = 0.40(x + 40)

Reorder the terms:
20 + 0.10x = 0.40(40 + x)
20 + 0.10x = (40 * 0.40 + x * 0.40)
20 + 0.10x = (16 + 0.40x)

Solving
20 + 0.10x = 16 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
20 + 0.10x + -0.40x = 16 + 0.40x + -0.40x

Combine like terms: 0.10x + -0.40x = -0.3x
20 + -0.3x = 16 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
20 + -0.3x = 16 + 0.00
20 + -0.3x = 16

Add '-20' to each side of the equation.
20 + -20 + -0.3x = 16 + -20

Combine like terms: 20 + -20 = 0
0 + -0.3x = 16 + -20
-0.3x = 16 + -20

Combine like terms: 16 + -20 = -4
-0.3x = -4

Divide each side by '-0.3'.
x = 13.33333333

Simplifying
x = 13.33333333

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