0.4(x+5)+0.6(x+9)=1.4

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Solution for 0.4(x+5)+0.6(x+9)=1.4 equation: 


Simplifying
0.4(x + 5) + 0.6(x + 9) = 1.4

Reorder the terms:
0.4(5 + x) + 0.6(x + 9) = 1.4
(5 * 0.4 + x * 0.4) + 0.6(x + 9) = 1.4
(2 + 0.4x) + 0.6(x + 9) = 1.4

Reorder the terms:
2 + 0.4x + 0.6(9 + x) = 1.4
2 + 0.4x + (9 * 0.6 + x * 0.6) = 1.4
2 + 0.4x + (5.4 + 0.6x) = 1.4

Reorder the terms:
2 + 5.4 + 0.4x + 0.6x = 1.4

Combine like terms: 2 + 5.4 = 7.4
7.4 + 0.4x + 0.6x = 1.4

Combine like terms: 0.4x + 0.6x = 1x
7.4 + 1x = 1.4

Solving
7.4 + 1x = 1.4

Solving for variable 'x'.

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

Add '-7.4' to each side of the equation.
7.4 + -7.4 + 1x = 1.4 + -7.4

Combine like terms: 7.4 + -7.4 = 0.0
0.0 + 1x = 1.4 + -7.4
1x = 1.4 + -7.4

Combine like terms: 1.4 + -7.4 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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