.4(x+5)=.2(x+4)

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Solution for .4(x+5)=.2(x+4) equation: 


Simplifying
0.4(x + 5) = 0.2(x + 4)

Reorder the terms:
0.4(5 + x) = 0.2(x + 4)
(5 * 0.4 + x * 0.4) = 0.2(x + 4)
(2 + 0.4x) = 0.2(x + 4)

Reorder the terms:
2 + 0.4x = 0.2(4 + x)
2 + 0.4x = (4 * 0.2 + x * 0.2)
2 + 0.4x = (0.8 + 0.2x)

Solving
2 + 0.4x = 0.8 + 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.
2 + 0.4x + -0.2x = 0.8 + 0.2x + -0.2x

Combine like terms: 0.4x + -0.2x = 0.2x
2 + 0.2x = 0.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
2 + 0.2x = 0.8 + 0.0
2 + 0.2x = 0.8

Add '-2' to each side of the equation.
2 + -2 + 0.2x = 0.8 + -2

Combine like terms: 2 + -2 = 0
0 + 0.2x = 0.8 + -2
0.2x = 0.8 + -2

Combine like terms: 0.8 + -2 = -1.2
0.2x = -1.2

Divide each side by '0.2'.
x = -6

Simplifying
x = -6

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