0.4*(x+7)-0.5*(x+2)=6

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Solution for 0.4*(x+7)-0.5*(x+2)=6 equation: 


Simplifying
0.4(x + 7) + -0.5(x + 2) = 6

Reorder the terms:
0.4(7 + x) + -0.5(x + 2) = 6
(7 * 0.4 + x * 0.4) + -0.5(x + 2) = 6
(2.8 + 0.4x) + -0.5(x + 2) = 6

Reorder the terms:
2.8 + 0.4x + -0.5(2 + x) = 6
2.8 + 0.4x + (2 * -0.5 + x * -0.5) = 6
2.8 + 0.4x + (-1 + -0.5x) = 6

Reorder the terms:
2.8 + -1 + 0.4x + -0.5x = 6

Combine like terms: 2.8 + -1 = 1.8
1.8 + 0.4x + -0.5x = 6

Combine like terms: 0.4x + -0.5x = -0.1x
1.8 + -0.1x = 6

Solving
1.8 + -0.1x = 6

Solving for variable 'x'.

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

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.1x = 6 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.1x = 6 + -1.8
-0.1x = 6 + -1.8

Combine like terms: 6 + -1.8 = 4.2
-0.1x = 4.2

Divide each side by '-0.1'.
x = -42

Simplifying
x = -42

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