.40(x+10)-.60(x+2)=2

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Solution for .40(x+10)-.60(x+2)=2 equation: 


Simplifying
0.40(x + 10) + -0.60(x + 2) = 2

Reorder the terms:
0.40(10 + x) + -0.60(x + 2) = 2
(10 * 0.40 + x * 0.40) + -0.60(x + 2) = 2
(4 + 0.40x) + -0.60(x + 2) = 2

Reorder the terms:
4 + 0.40x + -0.60(2 + x) = 2
4 + 0.40x + (2 * -0.60 + x * -0.60) = 2
4 + 0.40x + (-1.2 + -0.60x) = 2

Reorder the terms:
4 + -1.2 + 0.40x + -0.60x = 2

Combine like terms: 4 + -1.2 = 2.8
2.8 + 0.40x + -0.60x = 2

Combine like terms: 0.40x + -0.60x = -0.2x
2.8 + -0.2x = 2

Solving
2.8 + -0.2x = 2

Solving for variable 'x'.

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

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -0.2x = 2 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -0.2x = 2 + -2.8
-0.2x = 2 + -2.8

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

Divide each side by '-0.2'.
x = 4

Simplifying
x = 4

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