0.3(x+10)-0.07(x-20)=-7.1

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Solution for 0.3(x+10)-0.07(x-20)=-7.1 equation: 


Simplifying
0.3(x + 10) + -0.07(x + -20) = -7.1

Reorder the terms:
0.3(10 + x) + -0.07(x + -20) = -7.1
(10 * 0.3 + x * 0.3) + -0.07(x + -20) = -7.1
(3 + 0.3x) + -0.07(x + -20) = -7.1

Reorder the terms:
3 + 0.3x + -0.07(-20 + x) = -7.1
3 + 0.3x + (-20 * -0.07 + x * -0.07) = -7.1
3 + 0.3x + (1.4 + -0.07x) = -7.1

Reorder the terms:
3 + 1.4 + 0.3x + -0.07x = -7.1

Combine like terms: 3 + 1.4 = 4.4
4.4 + 0.3x + -0.07x = -7.1

Combine like terms: 0.3x + -0.07x = 0.23x
4.4 + 0.23x = -7.1

Solving
4.4 + 0.23x = -7.1

Solving for variable 'x'.

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

Add '-4.4' to each side of the equation.
4.4 + -4.4 + 0.23x = -7.1 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + 0.23x = -7.1 + -4.4
0.23x = -7.1 + -4.4

Combine like terms: -7.1 + -4.4 = -11.5
0.23x = -11.5

Divide each side by '0.23'.
x = -50

Simplifying
x = -50

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