0.4x+0.4(20)=0.2(x+30)

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Solution for 0.4x+0.4(20)=0.2(x+30) equation: 


Simplifying
0.4x + 0.4(20) = 0.2(x + 30)

Multiply 0.4 * 20
0.4x + 8 = 0.2(x + 30)

Reorder the terms:
8 + 0.4x = 0.2(x + 30)

Reorder the terms:
8 + 0.4x = 0.2(30 + x)
8 + 0.4x = (30 * 0.2 + x * 0.2)
8 + 0.4x = (6 + 0.2x)

Solving
8 + 0.4x = 6 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
8 + 0.4x + -0.2x = 6 + 0.2x + -0.2x

Combine like terms: 0.4x + -0.2x = 0.2x
8 + 0.2x = 6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
8 + 0.2x = 6 + 0.0
8 + 0.2x = 6

Add '-8' to each side of the equation.
8 + -8 + 0.2x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 0.2x = 6 + -8
0.2x = 6 + -8

Combine like terms: 6 + -8 = -2
0.2x = -2

Divide each side by '0.2'.
x = -10

Simplifying
x = -10

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