.4(x+7)=.2(x+4)

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Solution for .4(x+7)=.2(x+4) equation: 


Simplifying
0.4(x + 7) = 0.2(x + 4)

Reorder the terms:
0.4(7 + x) = 0.2(x + 4)
(7 * 0.4 + x * 0.4) = 0.2(x + 4)
(2.8 + 0.4x) = 0.2(x + 4)

Reorder the terms:
2.8 + 0.4x = 0.2(4 + x)
2.8 + 0.4x = (4 * 0.2 + x * 0.2)
2.8 + 0.4x = (0.8 + 0.2x)

Solving
2.8 + 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.
2.8 + 0.4x + -0.2x = 0.8 + 0.2x + -0.2x

Combine like terms: 0.4x + -0.2x = 0.2x
2.8 + 0.2x = 0.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
2.8 + 0.2x = 0.8 + 0.0
2.8 + 0.2x = 0.8

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 0.2x = 0.8 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 0.2x = 0.8 + -2.8
0.2x = 0.8 + -2.8

Combine like terms: 0.8 + -2.8 = -2
0.2x = -2

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

Simplifying
x = -10

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