0.2(x+10)-0.07(x-30)=0.2

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Solution for 0.2(x+10)-0.07(x-30)=0.2 equation: 


Simplifying
0.2(x + 10) + -0.07(x + -30) = 0.2

Reorder the terms:
0.2(10 + x) + -0.07(x + -30) = 0.2
(10 * 0.2 + x * 0.2) + -0.07(x + -30) = 0.2
(2 + 0.2x) + -0.07(x + -30) = 0.2

Reorder the terms:
2 + 0.2x + -0.07(-30 + x) = 0.2
2 + 0.2x + (-30 * -0.07 + x * -0.07) = 0.2
2 + 0.2x + (2.1 + -0.07x) = 0.2

Reorder the terms:
2 + 2.1 + 0.2x + -0.07x = 0.2

Combine like terms: 2 + 2.1 = 4.1
4.1 + 0.2x + -0.07x = 0.2

Combine like terms: 0.2x + -0.07x = 0.13x
4.1 + 0.13x = 0.2

Solving
4.1 + 0.13x = 0.2

Solving for variable 'x'.

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

Add '-4.1' to each side of the equation.
4.1 + -4.1 + 0.13x = 0.2 + -4.1

Combine like terms: 4.1 + -4.1 = 0.0
0.0 + 0.13x = 0.2 + -4.1
0.13x = 0.2 + -4.1

Combine like terms: 0.2 + -4.1 = -3.9
0.13x = -3.9

Divide each side by '0.13'.
x = -30

Simplifying
x = -30

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