0.06(x-30)+0.27(x+10)=10.8

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Solution for 0.06(x-30)+0.27(x+10)=10.8 equation: 


Simplifying
0.06(x + -30) + 0.27(x + 10) = 10.8

Reorder the terms:
0.06(-30 + x) + 0.27(x + 10) = 10.8
(-30 * 0.06 + x * 0.06) + 0.27(x + 10) = 10.8
(-1.8 + 0.06x) + 0.27(x + 10) = 10.8

Reorder the terms:
-1.8 + 0.06x + 0.27(10 + x) = 10.8
-1.8 + 0.06x + (10 * 0.27 + x * 0.27) = 10.8
-1.8 + 0.06x + (2.7 + 0.27x) = 10.8

Reorder the terms:
-1.8 + 2.7 + 0.06x + 0.27x = 10.8

Combine like terms: -1.8 + 2.7 = 0.9
0.9 + 0.06x + 0.27x = 10.8

Combine like terms: 0.06x + 0.27x = 0.33x
0.9 + 0.33x = 10.8

Solving
0.9 + 0.33x = 10.8

Solving for variable 'x'.

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

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.33x = 10.8 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.33x = 10.8 + -0.9
0.33x = 10.8 + -0.9

Combine like terms: 10.8 + -0.9 = 9.9
0.33x = 9.9

Divide each side by '0.33'.
x = 30

Simplifying
x = 30

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