0.3(x+30)-0.03(x-20)=-3.9

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Solution for 0.3(x+30)-0.03(x-20)=-3.9 equation:


Simplifying
0.3(x + 30) + -0.03(x + -20) = -3.9

Reorder the terms:
0.3(30 + x) + -0.03(x + -20) = -3.9
(30 * 0.3 + x * 0.3) + -0.03(x + -20) = -3.9
(9 + 0.3x) + -0.03(x + -20) = -3.9

Reorder the terms:
9 + 0.3x + -0.03(-20 + x) = -3.9
9 + 0.3x + (-20 * -0.03 + x * -0.03) = -3.9
9 + 0.3x + (0.6 + -0.03x) = -3.9

Reorder the terms:
9 + 0.6 + 0.3x + -0.03x = -3.9

Combine like terms: 9 + 0.6 = 9.6
9.6 + 0.3x + -0.03x = -3.9

Combine like terms: 0.3x + -0.03x = 0.27x
9.6 + 0.27x = -3.9

Solving
9.6 + 0.27x = -3.9

Solving for variable 'x'.

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

Add '-9.6' to each side of the equation.
9.6 + -9.6 + 0.27x = -3.9 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + 0.27x = -3.9 + -9.6
0.27x = -3.9 + -9.6

Combine like terms: -3.9 + -9.6 = -13.5
0.27x = -13.5

Divide each side by '0.27'.
x = -50

Simplifying
x = -50

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