0.4*(x+5)-0.6*(x+1)=6

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Solution for 0.4*(x+5)-0.6*(x+1)=6 equation: 


Simplifying
0.4(x + 5) + -0.6(x + 1) = 6

Reorder the terms:
0.4(5 + x) + -0.6(x + 1) = 6
(5 * 0.4 + x * 0.4) + -0.6(x + 1) = 6
(2 + 0.4x) + -0.6(x + 1) = 6

Reorder the terms:
2 + 0.4x + -0.6(1 + x) = 6
2 + 0.4x + (1 * -0.6 + x * -0.6) = 6
2 + 0.4x + (-0.6 + -0.6x) = 6

Reorder the terms:
2 + -0.6 + 0.4x + -0.6x = 6

Combine like terms: 2 + -0.6 = 1.4
1.4 + 0.4x + -0.6x = 6

Combine like terms: 0.4x + -0.6x = -0.2x
1.4 + -0.2x = 6

Solving
1.4 + -0.2x = 6

Solving for variable 'x'.

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -0.2x = 6 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -0.2x = 6 + -1.4
-0.2x = 6 + -1.4

Combine like terms: 6 + -1.4 = 4.6
-0.2x = 4.6

Divide each side by '-0.2'.
x = -23

Simplifying
x = -23

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