0.3(x+30)-0.07(x-50)=5.6

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Solution for 0.3(x+30)-0.07(x-50)=5.6 equation:


Simplifying
0.3(x + 30) + -0.07(x + -50) = 5.6

Reorder the terms:
0.3(30 + x) + -0.07(x + -50) = 5.6
(30 * 0.3 + x * 0.3) + -0.07(x + -50) = 5.6
(9 + 0.3x) + -0.07(x + -50) = 5.6

Reorder the terms:
9 + 0.3x + -0.07(-50 + x) = 5.6
9 + 0.3x + (-50 * -0.07 + x * -0.07) = 5.6
9 + 0.3x + (3.5 + -0.07x) = 5.6

Reorder the terms:
9 + 3.5 + 0.3x + -0.07x = 5.6

Combine like terms: 9 + 3.5 = 12.5
12.5 + 0.3x + -0.07x = 5.6

Combine like terms: 0.3x + -0.07x = 0.23x
12.5 + 0.23x = 5.6

Solving
12.5 + 0.23x = 5.6

Solving for variable 'x'.

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

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 0.23x = 5.6 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 0.23x = 5.6 + -12.5
0.23x = 5.6 + -12.5

Combine like terms: 5.6 + -12.5 = -6.9
0.23x = -6.9

Divide each side by '0.23'.
x = -30

Simplifying
x = -30

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