0.12(x-100)-0.05(x-30)=-1.80

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Solution for 0.12(x-100)-0.05(x-30)=-1.80 equation: 


Simplifying
0.12(x + -100) + -0.05(x + -30) = -1.80

Reorder the terms:
0.12(-100 + x) + -0.05(x + -30) = -1.80
(-100 * 0.12 + x * 0.12) + -0.05(x + -30) = -1.80
(-12 + 0.12x) + -0.05(x + -30) = -1.80

Reorder the terms:
-12 + 0.12x + -0.05(-30 + x) = -1.80
-12 + 0.12x + (-30 * -0.05 + x * -0.05) = -1.80
-12 + 0.12x + (1.5 + -0.05x) = -1.80

Reorder the terms:
-12 + 1.5 + 0.12x + -0.05x = -1.80

Combine like terms: -12 + 1.5 = -10.5
-10.5 + 0.12x + -0.05x = -1.80

Combine like terms: 0.12x + -0.05x = 0.07x
-10.5 + 0.07x = -1.80

Solving
-10.5 + 0.07x = -1.80

Solving for variable 'x'.

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

Add '10.5' to each side of the equation.
-10.5 + 10.5 + 0.07x = -1.80 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + 0.07x = -1.80 + 10.5
0.07x = -1.80 + 10.5

Combine like terms: -1.80 + 10.5 = 8.7
0.07x = 8.7

Divide each side by '0.07'.
x = 124.2857143

Simplifying
x = 124.2857143

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