.12(x-10)-.05(x-30)=-1.80

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Solution for .12(x-10)-.05(x-30)=-1.80 equation: 


Simplifying
0.12(x + -10) + -0.05(x + -30) = -1.80

Reorder the terms:
0.12(-10 + x) + -0.05(x + -30) = -1.80
(-10 * 0.12 + x * 0.12) + -0.05(x + -30) = -1.80
(-1.2 + 0.12x) + -0.05(x + -30) = -1.80

Reorder the terms:
-1.2 + 0.12x + -0.05(-30 + x) = -1.80
-1.2 + 0.12x + (-30 * -0.05 + x * -0.05) = -1.80
-1.2 + 0.12x + (1.5 + -0.05x) = -1.80

Reorder the terms:
-1.2 + 1.5 + 0.12x + -0.05x = -1.80

Combine like terms: -1.2 + 1.5 = 0.3
0.3 + 0.12x + -0.05x = -1.80

Combine like terms: 0.12x + -0.05x = 0.07x
0.3 + 0.07x = -1.80

Solving
0.3 + 0.07x = -1.80

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 + 0.07x = -1.80 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.07x = -1.80 + -0.3
0.07x = -1.80 + -0.3

Combine like terms: -1.80 + -0.3 = -2.1
0.07x = -2.1

Divide each side by '0.07'.
x = -30

Simplifying
x = -30

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