0.1(x-8)-0.05(4x-10)=0.3

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Solution for 0.1(x-8)-0.05(4x-10)=0.3 equation: 


Simplifying
0.1(x + -8) + -0.05(4x + -10) = 0.3

Reorder the terms:
0.1(-8 + x) + -0.05(4x + -10) = 0.3
(-8 * 0.1 + x * 0.1) + -0.05(4x + -10) = 0.3
(-0.8 + 0.1x) + -0.05(4x + -10) = 0.3

Reorder the terms:
-0.8 + 0.1x + -0.05(-10 + 4x) = 0.3
-0.8 + 0.1x + (-10 * -0.05 + 4x * -0.05) = 0.3
-0.8 + 0.1x + (0.5 + -0.2x) = 0.3

Reorder the terms:
-0.8 + 0.5 + 0.1x + -0.2x = 0.3

Combine like terms: -0.8 + 0.5 = -0.3
-0.3 + 0.1x + -0.2x = 0.3

Combine like terms: 0.1x + -0.2x = -0.1x
-0.3 + -0.1x = 0.3

Solving
-0.3 + -0.1x = 0.3

Solving for variable 'x'.

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

Add '0.3' to each side of the equation.
-0.3 + 0.3 + -0.1x = 0.3 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + -0.1x = 0.3 + 0.3
-0.1x = 0.3 + 0.3

Combine like terms: 0.3 + 0.3 = 0.6
-0.1x = 0.6

Divide each side by '-0.1'.
x = -6

Simplifying
x = -6

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