0.1(x-0.1)-.4(x+2)=-5.31

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Solution for 0.1(x-0.1)-.4(x+2)=-5.31 equation: 


Simplifying
0.1(x + -0.1) + -0.4(x + 2) = -5.31

Reorder the terms:
0.1(-0.1 + x) + -0.4(x + 2) = -5.31
(-0.1 * 0.1 + x * 0.1) + -0.4(x + 2) = -5.31
(-0.01 + 0.1x) + -0.4(x + 2) = -5.31

Reorder the terms:
-0.01 + 0.1x + -0.4(2 + x) = -5.31
-0.01 + 0.1x + (2 * -0.4 + x * -0.4) = -5.31
-0.01 + 0.1x + (-0.8 + -0.4x) = -5.31

Reorder the terms:
-0.01 + -0.8 + 0.1x + -0.4x = -5.31

Combine like terms: -0.01 + -0.8 = -0.81
-0.81 + 0.1x + -0.4x = -5.31

Combine like terms: 0.1x + -0.4x = -0.3x
-0.81 + -0.3x = -5.31

Solving
-0.81 + -0.3x = -5.31

Solving for variable 'x'.

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

Add '0.81' to each side of the equation.
-0.81 + 0.81 + -0.3x = -5.31 + 0.81

Combine like terms: -0.81 + 0.81 = 0.00
0.00 + -0.3x = -5.31 + 0.81
-0.3x = -5.31 + 0.81

Combine like terms: -5.31 + 0.81 = -4.5
-0.3x = -4.5

Divide each side by '-0.3'.
x = 15

Simplifying
x = 15

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