0.5x+0.2(40)=0.4(x+20)

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Solution for 0.5x+0.2(40)=0.4(x+20) equation: 


Simplifying
0.5x + 0.2(40) = 0.4(x + 20)

Multiply 0.2 * 40
0.5x + 8 = 0.4(x + 20)

Reorder the terms:
8 + 0.5x = 0.4(x + 20)

Reorder the terms:
8 + 0.5x = 0.4(20 + x)
8 + 0.5x = (20 * 0.4 + x * 0.4)
8 + 0.5x = (8 + 0.4x)

Add '-8' to each side of the equation.
8 + -8 + 0.5x = 8 + -8 + 0.4x

Combine like terms: 8 + -8 = 0
0 + 0.5x = 8 + -8 + 0.4x
0.5x = 8 + -8 + 0.4x

Combine like terms: 8 + -8 = 0
0.5x = 0 + 0.4x
0.5x = 0.4x

Solving
0.5x = 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
0.5x + -0.4x = 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
0.1x = 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.1x = 0.0

Divide each side by '0.1'.
x = 0

Simplifying
x = 0

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