.4(x+5)=6(x+2)

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Solution for .4(x+5)=6(x+2) equation:


Simplifying
0.4(x + 5) = 6(x + 2)

Reorder the terms:
0.4(5 + x) = 6(x + 2)
(5 * 0.4 + x * 0.4) = 6(x + 2)
(2 + 0.4x) = 6(x + 2)

Reorder the terms:
2 + 0.4x = 6(2 + x)
2 + 0.4x = (2 * 6 + x * 6)
2 + 0.4x = (12 + 6x)

Solving
2 + 0.4x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 0.4x + -6x = 12 + 6x + -6x

Combine like terms: 0.4x + -6x = -5.6x
2 + -5.6x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -5.6x = 12 + 0
2 + -5.6x = 12

Add '-2' to each side of the equation.
2 + -2 + -5.6x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -5.6x = 12 + -2
-5.6x = 12 + -2

Combine like terms: 12 + -2 = 10
-5.6x = 10

Divide each side by '-5.6'.
x = -1.785714286

Simplifying
x = -1.785714286

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